3as-ge-math1-l01
DESCRIPTION
mathTRANSCRIPT
-
.1
.
.
.
. + = + b ua un n1
.
- .I
.II
.III
.VI
a0) ( + = + b ua un n1: .V .IV
(+) .IIV
( + ) .IIIV
( ) .XI
-
:
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" "
.
" "
.
: .
"....
.
".
:
2
2 1 1
)1 (n n n
i i i
i i i i = = =
- + =
. 4711
-
: - .I
031A
5002 . %2B
. 0006BA
vn A un
. + n 5002 B
.v1u1 v0u0 (1
un) ( .un + un1 (2.r
.nun (3
vn) ( .vn + vn1 (4.q
.nvn (5
.0102 BA (6
.5002 0006 (1
= v0006 0 = u0006 0
.6002 + 1 5002 v1u1
(. 031 ) = + = u0316 031 0006 1:
-
12
0216 20,1 0006 )20,0 1( 0006 0006 0006001
= = + = + = v
(. %2 )
un + n 5002 A (2
: 031
+ = + u un n031 1
. = r031 un) ( . + = n un031 0006n (3
vn + n 5002 B (4
= + v vn n20,1 1: %2
. = q20,1 vn) ( . = vnn 20,1 0006) ( n (5: (6
. v4266 5 = u0566 5
.1
1
: 2 + = n un7 2un) (
. + = + u un n2 1 = - + u un n2 1 + + = + n un7 )1 (2 1
( r)r un) (
. + = + r u un n1:n
-
unu0 run) (
. + = rn u un0:
. = u7 0 u0
2
= v71 0 5 vn) (
= + = + = r v v72 5 22 1 2 = + = + = v v22 5 71 5 0 1:
... = + = + = r v v23 5 72 2 3
. - + = r n u un1 1) ( u1 :
( )1
r un) (
- + = r p n u up n) ( :pn
- = u5 2 4 un) (
. - + = r p n u up n) ( u02 . = + - = - + = r u u76 4 81 5 2 02 2 02) ( : = p2 = n02
-
.un u0 un) (
+ + + + = - u u u u Sn n ........1 1 0: S
- 2 )1 ( ........0 1 1 0: + = + + + + =
+n n
n u u u u Snu u
n+ 1) (
:
= S( )
1
+ + + + = n S... 3 2 1 S
.1 1
: n 1
... 3 2 12n
n n S = + + + + = +
2
. = u5 0 u0 3 un) (
+ + + = u u u S...02 1 0 S
: ( + 1 02 ) 12
02 1 002 ) (5
1 02 ...2u
u u u S +
+ = + + + =
: = + = r u u56 02 0 0256 5
537 122
S +
. = =
+
2
-
. + - = n un2 3: * un) ( .u2u1(1
.r un) ( (2 . + + + = u u u Sn ........ 2 1: n (3
. - = + - = u1 2 )1(3 1 - = + - = u4 2 )2(3 0(1
un) ( : (2
.r - + u un n1 n
n
. - = + - - + + - = - + n n u un n3 2 3 2 1 3 1] [ ) (
. - = r3 un) (
.n (3
2 3 1 1: 2 2
n n Sn u un + - - +
= =
3 1) ( : 2
n n S
- . =
2
cba
. = + b c a2
.ca b
-
970614
. = + 06 2 14 97:
.2
1
3 5,0un) (n
: 3 = un
. = = + + unn n3 3 5,0 3 5,0 11) ( . = + u un n3 1
2
u0 5,1 un) (
: = u21 0
= = = q u u72 5,1 81 1 2 = = = q u u81 5,1 21 0 1
... . = = = q u u5,04 5,1 72 2 3
unu0 qun) (
0: n
. = q u un
( q)q un) (
= + q u un n1:n
-
u1 1
1n
q u un . = -
:
1
q un) (
. = - q u up np n: pn
. = u3 4 5,1 un) (
= p4 = n01 u01
. = = = - q u u291 2 3 4 016 4 01: = - q u up np n
n+ 1) (
:
. = S( )
. = u5,0 1 3 un) (
:
1-
1-
: 1 q un) ( 1
0 1 1 0
1........
1
n
n n
qu u u u u S
q
+
-
- - = + + + + =
-
1 01 1
1........
1
qnu u u S
q -
- = + + =
. ( = n01S )
3 101
26741 5,03 1
S -
= = - .
+ = + + + + = - u n u u u u Sn n1 ........0 1 1 0) ( : = q1
2
cba
b . = b c a2:
.ca
215652821
= = 652 635 56 215 8212:
1
= v3 1 * vn) (. = q2
.v3v2 (1
.vn n (2
. + + + = v v v Sn ........ 2 1 n (3
-
. = = = q v v21 2 6 2 3 = = = q v v6 2 3 1 2(1
2 3 11 1(2n n
q v vn. = = - -
.n (3
1 2 11
........1
n
nq
v v v v S q
- = + + + =
- .
1 2 3 2 1 3 32 1) ( ) ( 2 1
n Sn n
- - = - - = =
-
2
03635002 0003
.7002
. a
. a (1
0302 (2
.
:
. + = a q1
a (1
:
-
+ un1 + n 5002 un . + + n)1 ( 5002
. = u0363 2 = u0003 0
+ un1un a
. + = + a u un n1 1) ( . + = + a u u un n n1 + = a q1 un) ( . = u0003 0 u0
+ 0 5002u0
+ 1 5002u1
+ 2 5002u2
= q u u0 22 2 2
0
uq
u . =
. = = a %01 1,0 . = q1,1 = q12,1 2:
0302 (2
. + = 52 5002 0302
. = q u u0 5252
. u21,40523 52 = u1,1 0003 5252) (
: = u40523 52
0302 00523
. 40523
-
: .II
: n un) (1
n3 2n
u n
+ =
+
(1
.
n012345678...
un
.un) ( (2
1 (3n3
1 - un2
. - u
) ( : + f (41
3 2x
x f x
+ =
+
.f (5
un n (1
:
-
0
1,0
2,0
3,0
4,0
5,0
6,0
61 41 21 01 8 6 4 2 0
. un) ( (2
0(31n3
1 < 0 - un2
1: - u 2
1 un2 >
.2 un) (
M .un) ( 5
. 5
-
:un) ( un) (. + u un n1n .1
. + u un n1n .2
. = + u un n1n .3
. un) ( .4
.un) ( 2
. 2 m
.II
0
un n n) (
. n n0 n
.
un) ( . 1
2
n
un - = .
k un) ( . = k unn
1
: un) ( 2
2
1 2n4
nu
n +
= +.
-
.2 un) (
)M un) (
: (m
. ( - m un ) - M un
= n f un) ( +0[ [ f
: - un2
2 2 2
2 2 2
7 8 2 1 2 1 22 2
n4 4 4n n n
u n n n
- - - + + = = - = -
+ + +
2
7 n4
- +:n
2
70
n4 -
< + .
. < un2 . < - un0 2:n
.2 un) (
2
: * un) ( 9 2
n
n nu
n + +
. =
.7 un) (
) ( : 2
3n7
nu
n -
= -
. un7 . - un0 7 * n
-
.7 un) (
3
: un) ( 1 2
n3n
u n
- =
+ .
: un) (
. - + u un n1
n1 n
u u
+ . 1
= n f un) ( +0[ [ f
f = n f un) (
1 2 ) ( : +0[ [ 3
xx f
x -
= + .
: +,0[ [ f
2 2 ) (7 )1()1 2( )3 (2
')3 ( )3 (
x xx f
x x - - +
= = + +
. > x f0 ) ( +0[ [ x . +0[ [ f. un) (
-
4
: * un) ( 1 2 5 3 1
...n2 6 4 2
nu
n -
=
.
n1 n
u u
+ .1
n1 n
u u
+
) ( ) ( ) ( ) (
) (1
1 1 2 1 2 ... 5 3 1
1 2 2 ... 6 4 2
1 2 ... 5 3 1
2 ... 6 4 2
n
n
n n
un nun n
+
- + -
+ =
-
) ( : ) (
11 2 1 1 22 2 1 2
n
n
n un n n u
= = + - + + + + .
1 1 2 + < + n n2 2 1 2 2 2n n
+ 016 1 n
0 016nU n3 1
1,2 013333330,2 0320,2 0510,2 001200,2 005100,2 00011000,2 0000110000,2 000001100000,2 60+E1
601+2
2nu
n 601
-
= l2 un
. n
: = l2 un) ( . = + u nn2 mil
.1
: n un) ( 1
n un3 .3 - =
1 )n (0
: - n1) ( . - 11
01 16+ E60 1
un) ( un
n l
un) ( + n lun) (
. = + l u nn mil: .l
-
.
n f un= ) ( .2 ( )
.
1
3 3 mil + n n
= - 3 3 mil1
+ x x = - .
.3
.n f) ( . + f
2
. + - a
n un) (
. +0[ [ f = n f un) () ( mil
x a x f
+ . = + a u nn mil =
:r un) (. + = + u nn mil r > 0 .1
. - = + u nn mil r < 0 .2
. = + u u nn mil0 un) ( = r0 .3
-
a + u xr x f:0 . + = r u un0
: . +0[ [mil) ( r > 0 -
x x f
+ r < 0 + =
mil) (x
x f +
. - =
= u un0n = r0 -
= + u u nn mil0
3
0n
:0 . = q u un . aq u x fx
x mil n
q +
x0 mil q >1 + =n
q +
=
.0 < q < 1
un) ( = = u u unn10 0n = q1 . = + u u nn mil0
:q > 0 un) ( : q >1 -
.u0 > 0 + = + u nn mil
.u0 < 0 - = + u nn mil
. = + u nn0 mil 0< q < 1 -
-
.4
( )4
.
un) (
. - = unn 1) (
1
: un) ( 1
3n n2
: n + - = u
1 1: *1
n n n2 > - + u un n0 1 = - + + u u
0 1: 2 * n2
3 3 1 < - n2
< + -
< un3
un) ( 1
0 mil +nn2
= - .0
2
vn) ( 1
5n n3
: + = v
5
.5
.1
.2
-
1
: n un) ( 2
2
1 5 2n5
n nu
n + -
= +
. un) (
f = n f un) (
) ( : +0[ [ 2
2
1 5 25
x xx f
x + -
= + .
) ( 2
2
22 mil mil
x x
xx f
+ + xn2 mil = =
n u
+ . =
.2 un) (
2
un) ( 1
2n2
n u n
+ = + n
+0[ [ f = n f un) (
21 ) ( : 2
x x f x
+ = + .
0 mil1 + x x2
= +2 mil
x x
+ . + =
mil) ( x
x f +
+ = .
n miln
u +
. un) ( : . + =
-
3
un) (23
. = u2 0 = q
. + + + = u u u Sn n... 1 0:n
.un) ( nun .1
.Sn nSn .2
0n .12
23
nn
q u un = = .
1 02 3
0 mil2 < b0 - = + u nn mil < b0
1 a:
- + u un n1 un) ( .n
+ - + = - - + b ua b ua u un n n n1 1) ( ) ( n
. - = - - + u u a u un n n n1 1) (
:
-
f = + u f un n1) ( un) ( un) (
. = u u0 1 < u u0 1 > u u0 1
:
- = - + u u a u un nn0 1 1) (
un) ( f > a0 - .un) ( - u u0 1 an f < a0 -
. - + u un n1
. un) (
vn) ( un) (
: nn n1b
u v a
- = - .
- = - - + u u a u un n n n1 1) ( - = - - - - u u a u un n n n2 1 1) ( - = - - - - - u u a u un n n n3 2 2 1) (...
...
...
- = - u u a u u1 2 2 3) (- = - u u a u u0 1 1 2) (
-
n
n n n n n n1 1 1 1 1 1b ba b b
va u a ua b ua u v + + a a a a
- - - - = - = - = - + = - =
.v0 a vn) ( . = a v vnn 0n
n n1b
v u a
+ = -1 0
nn
ba v u
a + =
- .
n0 mil < < - a1 1 -n
a +
mil =nn1b
u + a
= - .
1 un) ( b - a .
n mil > a1 -n
a +
+ = + u nn mil + =
.v0 - = + u nn mil
. an) ( - a1 - . un) (
. - a1 > a1 un) (
: = a u0 un) (
1
12
n n3. + = + u u
. = a 3 .1
un) ( .u3u2u1 ( .
-
un) ( ( vn) ( = a 2 .2 . - = u vn n3: n
vn) ( ( .
.nun nvn (
. un) ( ( .un) ( ( .un) ( . = a 6 .3
. = u3 0: = a 3 .1
. = u3 3 = u3 2 = u3 1: (
. un) ( . = un3n
. = u3 0 = n0 :
n0 :
. + n1
= + un3 1 ( ) = un3
11
2n n3
. + = + u u
11
3 2 3n3
. + n1 . = + = + u
-
:
. un) ( .n .3 un) ( (
= u2 0: = a 2 .2
1 1) ( ( 1 1 1
3 1 3 2 3n n n n n3 3 3
- = - = - + = - = + + u u u u v
11n n3
. = + v v
vn) ( 13
= q
. - = u v3 0 0) ( - = v1 0
0 n ( 1
3
nn
q v vn - = = .
+ = v un n3 1
33
n
un + - = .
1 11 ( 3
0 mil1 < < -3
n
+n
= . = + u nn3 mil
.3 un) (
= + u f un n1) ( ( 1
2 :3
. a + x x f
0 1 3
0 1> - u u0 0 1 >23
= - u u . un) (
. = u6 0: = a 6 .3
0 1 3
- = - u u2 0 1) ( < - u u0 0 1 >
. un) (
-
: .IV
un) ( .1:r un) ( *
. + = + u nn mil r > 0 .1
. - = + u nn mil r < 0 .2
. = + u u nn mil0 un) ( = r0 .3
:q > 0 un) ( * : q >1 -
.u0 > 0 + = + u nn mil
.u0 < 0 - = + u nn mil
. = + u nn0 mil 0< q < 1 -
. = + u u nn mil0 un) ( = q1 -
. *
. *
.2
n P) ( * :
. -
-
.
-
*
. P0) ( .1
n n P) ( .2
. +n1 n P) (
.3
- + u un n1 *
:
. *
.4
.1
.
.2
.
- q11] ] q .3
.0
-
: .IIV
. ( 21 ) :
. 000 001 5002
%3 .1
+ n 5002 un
. n
.u2u1 u0 (
. = + u un n30,1 1n (
.un) ( .unn (
0102 (
(. ) 5202
(
000 002
.2
0005
.
-
+ n 5002 vn
. n
.v2v1 v0 (
.vn) ( .vn + vn1 ( .nun (
0102 (
(. ) 5202
000 002 (
.1 .5002 + 0 5002 u0(
. = u000001 0
.%3
13
000301 30,1 000001 000001 000001001
= = + = u
. = u090601 2:
+ n 5002 un (
+ un1 n
: + + n)1 ( 5002
1) (3
30,1 30,0 1n n n n n001
= + = + = + u u u u u
.%3
-
30,1 un) (
. = u000001 0
u0 qun) ( (
0: unn
. = q u un
. = unn 30,1 000001) (
: (
: 0102
. = u729511 30,1 000001 55) ( : 5202
. = u116081 30,1 000001 0202) ( .
n (
.
000 002
.9202 + 42 5002
247,697551 51446,074061 61367,482561 71603,342071 81506,053571 91321,116081 02754,920681 12143,016191 22156,853791 32114,972302 42397,773902 52721,956512 62
-
.2 .000001 5002 v0(
. 0005
. = v000011 2 = v000501 1
+ n 5002 vn (
+ vn1 n
: + + n)1 ( 5002
+ = + v vn n0005 1
0005 vn) (
. = v000001 0
rvn) ( (
. + = rn v vn0: vnv0
. + = n vn0005 000001n
: (
: 0102
. = + = v000521 5 0005 000001 5
: 5202
= + = v000002 02 0005 000001 02
000 002 (
.5202
-
: un) (
. + = + u un n1 2 1n = u0 0
un
: .1
.0 1
. 0B2
. + = B1 2 *2:C2
. C2
+ un1 + = B1 2:B3
. + un1
. B3
.nun n + un1 .2
:
.nun :
: n vn) ( . + = u vn n1
-
. vn) ( .1.nun nvn .2
. .3
: .1
1 2 .2
n2
- = unn1 2 = + unn2 1 + un1) (
. = - = - = u0 1 1 1 2 00 = n0
. = n0
. + n1 n
- = unn1 21
1 2 1n
un +
- = +
+ = + u un n1 2 1
+ - = + = + u un nn1 )1 2(2 1 2 1: un
1 2 1 2 2 2 1 )1 2(2 11n n n
un +
- = + - = + - = +
. + n1
. - = unn1 2n
-
. + = u vn n1: n vn) ( n :
= + = + + = + = + + v u u u vn n n n n2 1 2 1 )1 2( 1 1 1) ( . = + = u v1 1 0 0 2 vn) ( . = vnn2nvn
- = v un n1 nun
. - = unn1 2n
: un) (
. - = + u un n01 3 1n = u6 0
.1
:
.nun n - un5 .2
. .3
: .101 9 8 7 6 5 4 3 2 1 0 n45095 88691 6656 2912 437 842 68 23 41 8 6 nu94095 38691 1656 7812 927 342 18 72 9 3 1 5nu
-
3 - un5 .2
. = - unn3 5n :
. + = unn5 3n :
:
. = + = + = u6 5 1 5 3 00 = n0
. = n0
. + n1 n
. - = + u un n01 3 1
:
+ = - + = - + = + + + unn n n5 3 01 51 3 01 5 3 3 11 1 ) ( . + n1
. + = unn5 3n
. - = u vn n5: n vn) ( n :
= - = - = - = + + v u u u vn n n n n3 5 3 51 3 5 1 1) ( 3 vn) (
. = - = - = u v1 5 6 5 0 0
nun . = vnn3nvn
. + = unn5 3n :
-
.
. - 5u= 07 0 un) ( .1
.u u u S+ + + = ...31 1 0
wn) ( vn) ( .r un) ( .2: n
. + = u wn n3 2 - = u vn n1 3
. wn) ( vn) (
+ 0[ [ f .3 :
03+x
3 - 10
x f) (
. = n f un) ( un) (
.u0 (
. un) ( (
-
C f + 0[ [ f.4 .
. = n f un) ( un) ( :
.u0 (
. un) ( (
. - = x x x f2 2 ) ( : + 0[ [ f .5 . = n f un) ( un) ( .f (
. un) ( ( un) ( (
: * un) ( .612
n
nu
n -
=
.un) ( - + u un n1 (1
1 0
1
x
y
C f
-
f . = n f un) ( f (2.
2: * un) ( .7n4
n un=
n1 (1n
u u
+.
. un) ( (2
. = unn n2 3: un) ( .8
2n (13
n
un = .
. un) ( (2
: * un) ( .91 1
n1u
n n - =
+
.un) ( ( .1 .un (
un) ( ( . + S nn mil nSn . + + + = u u u Sn n... 2 1 .2
n .01... 3 2 11 2 1 2 2 2 2) () (
6n n n
n + +
= + + + +
-
: un) ( .11
. - = + u un n3 2 1n = u3 0
. un) (
- n1 23n .21
.7
AD0050002 .31
AD05
.
.n un u1
.nun (1
7002 (2
700213 (3
. L00023 .41
. 01
L0005
.
01
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. 4,54 0991 .51
.2002 6,25
. n vn0991 v0
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.r (1
0202 (2
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p2 p1 (1
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(2
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. AD0005
.AD051 (1
.n un
.u2 (
.u8 nun (
. (
.%3 (2
.n vn
.v2 (
.v8 nvn (
-
. (
. (3
un) ( .811
n5 2n
u n
- =
- . n1
: +3[ [ f
1 ) (5 2x
x f x
- =
-
x f ( .1
. x f2 ) ( +3[ [ mil) ( (
x l x f
+ x - l x f) ( . =
. l x f) ( +3[ [ x f C (
. mc4 mc1
. un) ( ( .2. un) ( f (
2 1 = u2 0 un) ( .910
nn
uu
+ u. =
. un) ( ( .1 .nun (
un) ( ( .20 un) ( .2
-
: un) ( u3u2,u1 .02
. - = + u un n31 9,0 1 = u2 0
: un) ( . a.12
: . - = + u un n5,1 5,2 1 = a u0
. un) ( = a0 ( . un) ( = a1 ( . un) ( = a2 (
: un) ( .223
2
n
n un =
+
. (1
. > un0n (2
n1 1 (3n
u
u. - +
.un) ( (4
.7,0 .32
: n (1
. n1 - = pnn3,0 1
. pn) ( (2
-
pn n (3
.999,0
0002 .42
. %4
. ( .1
.nun .n un (
. + u nn mil (
( ) ( .2
.n n pn (
pn (
. 0004 n (
. n + + + + = n Sn... 3 2 12 2 2 2 .52
.s4s3s2s1 ( .1
.sn + sn1 (
.2
1 2 1) () (n6
n n n S
+ +. =
: n2 .62
- + + + + + = - n Snn2 1 ... 2 4 2 3 2 2 12 3 2) (
-
n2
2 1 1 1 2 2 11 1 ) (2
n n n n n n Sn
- + = + - - = -
: un) ( .72
. + = + u un n2 1n = u1 0
. un2 0n (1
. un) ( (2
+ = + b ua un n1:
1) ( : un) ( .821
1n n3
. - = + u u
. un) ( u0 (1
. + = u vn n1 2 = u4 0 (2
.v0 vn) ( (
.un nvn (
.un) ( (
n1 = u1 0: un) ( .92
1
1
2n
n
u + u
-. =
.u3u2u1 (1
: n . a (2
. + = a u vn n
-
. vn) ( a ( .nun nvn (
.un) ( (3.un) ( (4 . + + + + = u u u u Sn n. . . 2 1 0: n (5
n miln
S + n.
. %08 .03
. %5,2 %3
. = y000004 0
. C0 ( .1
(. = n1) C1y1 (
(. = n2)C2y2 (
ynCn . = y Cn nn579,0 8,0 ( .2
.n
.nCn (
.Cn) ( ( .3
. + n Cn (
Cn) ( .4
. %3 %3
-
.
= S5.1
n .2
- = + - - = - + + + u u u u v vn n n n n n3 1 3 1 31 1 1) ( .r un) ( = - + r v vn n3 1 .r3 vn) ( n
. - = + - + = - + + + u u u u w wnn n n n n3 3 1 22 2 2 2 1) (
- + + = + r n n u un n2 2 2 2 2 2) ( = + - + = - + + r u u w wnn n n2 3 3 1 22 1) (
.r2 wn) (
= = f u0 0 0) ( ( .3 x :3 un) ( ( . x f3 ) ( +0[ [
= = f u3 0 0) ( : ( .4 x : - 2 un) ( ( . - x f2 ) ( +0[ [
-
( .5
x012+
0+
0
- 1
x f) (
x - 1 (
. - x f1 ) ( +0[ [ . (
(1.61) (1 2
n n1n
u u + n n
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+ .0 0) (
4 -x5 2 2 ( +3[ [ x)
1 ) ( +3[ [ x 2
. x f
.91
1n : un) ( ( .11n n4
. = + u u
:nun (
0n 1
22
nn
q u un = = .
. un) ( (
-
un) ( .2 .20
- = u277,33 3 - = u80,32 2 - = u2,11 1.02
- = + u un n1 5,1 1) ( n .12 - = - = u5,1 5,1 0 5,2 1: = = a u0 0 (
.. . - = - - = u52 ,5 5,1 5,1 5,2 2) ( . un) ( = - = u1 5,1 1 5,2 1: = = a u1 0 (
... = - = u1 5,1 1 5,2 2
. un) ( = - = u5,3 5,1 2 5,2 1: = = a u2 0 (
... = - = u52 ,7 5,1 5,3 5,2 2
. un) (
- = + u un n1 5,1 1) (
: un) ( .223
2
n
n un =
+.
0(112
2 = u1 1 = u94
3 = u725
4 = u186
. = u
. > un0n (2
-
n1 1> 0: (3n
u
u. - +
. un) ( (4
.32
.3,0 (1
- = pnn3,0 1: n
. n1
. = + p nn1 mil pn) ( (2
(3
. = n6:
.42
2 = u0002 1( .14
0802 1 0002001
= + = u = u2,3612 1
. = u827,9422 4
unn 40,1 00021 ) ( n1 ( -
=
. + = + u nn mil(
. 829,2948( .2
000240,1 1( 40,1 1
n
pn -
= -
. + = + p nn mil(
. = n81(
-
. n + + + + = n Sn... 3 2 12 2 2 2 .52
. = s21 4 = s41 3 = s5 2 = s1 1( .1
. + + + + + + = = + n n S sn n1 ... 3 2 1 12 2 2 22) ( (
.2
1 2 1) () (n6
n n n S
+ + . =
1) () ( = n1 3 2 1 1 2 1 1 1
16 6
S + +
= = =
. = s1 1
. = n1
n
. + n1
+ + + + + + = = + n n S sn n1 ... 3 2 1 12 2 2 22) (
12) ( ) () ( : 1 2 1
1n6
n n n + n s
+ + + + =
. + n1
1 2 1) () ( n n6
n n n S
+ + =
) () () ( ) () (
) ( ) ( ) (
2
1
3 2 2 1 6 7 2 1
6 6
1 1 2 1 1 1
6
n
n n n n n ns
n n n
+
+ + + + + + = =
= + + + + +
-
= S1 2 = n2 .621 2 1 2 112
2 = - + .
. = n2
. + n1 n
:
11) ( ) (1 1 1
2 1 1 2 2 1 2 1 1 12 2 2
n n n n n n Sn
+ +
- + = - + = - + + =
:
11 2 ) (1
2 2 1 ... 2 2 1
12 2 1 1
2
n nn
n n
n n S
n n
- - +
-
+ - + + + =
+ - + =
( )
) () (
11
1
1
12 2 1 1
2
12 1 2 1
2
2 2 2 1
2 1 1
n nn
n
n
n
n n S
n n
n
n
- +
-
-
+ - + = + - + =
- + =
- + =
. + n1
n2 :
2 1 1 1 2 2 11 1 ) (2
n n n n n n Sn
- + = + - - = -
-
.72
. un2 0n (1
. u2 00 . = u1 0
. + un2 01 un2 0
. +0[ [ ax x . + + un2 2 2 2:
. + un2 2 01
. un2 0n
un) ( (2 . + u un n1n
. = + = u u u3 20 0 1
. + u u u un n ...1 1 0 - u u u un n ...1 1 0
ax x - u un n1
. +0[ [ . + + - u un n2 2 1
. + u un n1
. un) (
-
+ = + b ua un n1:
0(1.8212
- = u
n ( (2
) (
) (
1 21 1
11 1 2
3
2 21
3 31 1 1 2
1 23 3 3 3
n n
n
n
n n n
u v
u
u
v u u
+ = + +
+ - =
+ - =
= + = + =
: vn) ( 13 . = v9 0
91n ( 3
n
vn = 1 1 9
2 3 2
n
un + - =
mil1( nn2
u +
. =
.92
: (1
2 = u0 112
3 - = u34
. - = u
. + = + + a u vn n1 1: ( (2
1 11
2n
n n
u + + a a u v
- . + = + =
1: 1
2n
n
v v
a +
+ -. =
-
. = a 1 vn) (
1n 1n n2
. = + v v
nvn (
1 2 : = + = a u v2 0 0
21n 2
n
vn =
:nun
1 21n 2
n
un - = .
n1 un) ( (3n
u u
+ .1
. un) ( . + u un n1:
(41
1 1 2 mil mil2
n
n nn u
+ +
- = - =
Sn (5
) ( : 1
11
12
1 21
12
n
n Sn
- + + - =
-
.
n1 mil n
S + n
. - =
-
: .IIIV
.
. (1
. n un) ( + = + u un n1,0 1 - = u1 0(
1( n1
u n
= + .
2( 3
n
un =
2 1 = u4 0( n
n
u= + u
. un) ( (2 + - = n un1 3(
- = + u un n3 1 = u4 0(
1( n2
+ = n u
+ = + u un n1 1 = u1 0(
(3
.
= u41 0: vn) ( un) (
-
+ = + u un n3 4 1n
+ = u vn n1
4 vn) ( ( 4 un) ( ( vn) ( ( . un) ( (
.
. (1
. un) ( = + u nn6 mil (
. (
3 + = + u nn mil ( - un
.
. (
. (
. (2
: un) ( un) (3 2
n1n
u n
- =
+ .
. un) ( (
-
. un) ( (
. un) ( (
.2 un) ( (
1 ( un
.
: un) ( (
= n f un) (3 2
) (1
xx f
x -
= +
.
. (1
. (2
. (3
.
.....(1
......(2
-
: .XI
. 1
AD00001 10021
%5
(. ) AD0051
. + n 1002 un
.u1 u0 .1
3002
. - = + 0051 u50, 1 un 1 nn .2
.un) ( .3 . - = u vn n00003n .4
vn) ( ( .
un) ( ( .5
= u00009 1 = u00001 0.1
.3002 u2
1 1 2
50051
001. = u0597 2 - + = u u u
2 52,0
5,0
-
1.25
0051 00001n n001
- + = + u u
. - = + 0051 u50, 1 un 1 n
= + u f un n1) ( .3
. - = 0051 x 50, 1 x f) (
. un) ( f. un) ( < - u u0 0 1
.4
- = - = + + u u vn n n00513 50,1 00003 1 1(
= + v vn n50,1 1 - = + u vn n00003 50,1 1) ( = q50,1 vn) (
. - = v00002 0
50,1 01 2 04) ( ( nn
. - = = q v vn
+ = v un n00003
. + - = unn01 3 50,1 01 24 4) (. - = un mil
. - = u7201 9 = u98,045 8 .5
10 /10 / 0102 u9
.0102
5,0
57,0
57,0
1
1
-
. 2
. 0051 5002
%01
.
. 001
un n
. + n 5002
.
. 0541 6002/10/10 .1
. un) ( .2
. + = + u un n001 9,0 1n .3
vn) ( n .4. - = u vn n0001
. = vnn 9,0 005) ( n .5. - = unn0001 9,0 005) ( n .6. .7
.005 .8
-
.u0 u1 .1
. .2
.32 .3
.vn + vn1 .4
. .5
vn un .6
. - = u vn n0001
.un) ( .7. un) ( .8