721-5.3

3

PAGE 17

5.3

1.i) - 3, 6, 12, . . . = = 2 = . = 3.

1.ii) - , 2, 6, . . . = = . =

= 2.

1.iii) - 9, 27, 81, . . . = = 3 = . = 9. = . =

1.iv) - , , , . . . = = = = . = . =

EMBED Equation.DSMT4 =

1.v) - 16, 8, 4, . . . = = = . = 16. =


1.vi) - 18, 6, 2, . . . = = = . = 18. = 2. =

1.vii) - 1, 0,4, 0,16, . . . = = 0,4 = . = 1. =

1.viii) - 2, 4, -8, . . . = = 2 = . = 2. =

1.ix) - 3, 9, -27, . . . = = 3 = . = 3. =

2.i) , , 1, . . . = = = 2 = . = = = 2.ii) , 2, 6, 18, . . .

= = 3 = . = 2 2.iii) , 729, 243, . . .

= = = . = 729. = . =

2.iv) , 1, 2, 4, . . .

= = 2 = . = 1. =

2.v) , , , , . . . = = = = . =

EMBED Equation.DSMT4 = =

3.i) 1 , 5 2.

=

EMBED Equation.DSMT4 = = =

3.ii) 1 , 4 .

=

EMBED Equation.DSMT4 = = . = . = =

4.i) , 3 12 6 96.

= 12

EMBED Equation.DSMT4 = 12

EMBED Equation.DSMT4 = 12 (1)

= 96



= 8 = 2 4.ii) , 2 5 .

=


EMBED Equation.DSMT4 = (1)

=



= = = = =

5.i) = 125 =

= 125



=



= = = = = =

) = , (1)


EMBED Equation.DSMT4 = 125 = 8. 125 = 1000

=


) = , (1)


EMBED Equation.DSMT4 = 125 = 8. 125 = 1000

=

EMBED Equation.DSMT4 = 1000= 1000

5.ii) =

= 32

=



= 32



= 32 = = = =

) = (1)



= = = = = 16

) = (1)



= = = = = 16

6. 3, 6, 12, . . .

768

= = 2

= 768 = 768 3 . = 768 = 256 = 1 = 8 = 9

7.i) 4, 8, 16, . . ., 2000. = = 2

> 2000 > 2000 4 . > 2000 > 500 = 256 = 512, 1 = 9 = 10

7.ii) 128, 64, 32, . . ., 0, 25 = =

< 0,25 < 0,25

128 <

<

<

EMBED Equation.DSMT4 <

> 1 > 9 > 10 = 11

8. i) 5 20, .

ii) x x 4, x + 1, x 19

.

i) 5 20 = = = 10

= = = 1

ii) = (x 4) x 19)

= 19 x 4 x + 76

25x = 75 x = 3

9.i) 10

1, 2, 4, . . .

= = 2 =

EMBED Equation.DSMT4 = 1. = 1 9.ii) 10

3, 9, 27, . . .

= = 3 =

EMBED Equation.DSMT4 = 3. = 3. 9.iii) 10

4, 8, 16, . . .

= = 2

=

EMBED Equation.DSMT4 = 4. = 4. = 4

10.i) 2 + 8 + 32 + . . . + 8192

= 2, = = 4 1 = 8192


2. =

. =

=

=

2 1 = 13 = 7

=


= 2

EMBED Equation.DSMT4

= 2

EMBED Equation.DSMT4 = 25461 = 1092210.ii) 4 + 2 + 1 + . . . +

= 4, = = =


4 =

=

=

=

=

1 = 11 = 12 =



= 4


= 4


= 4



10.iii) 1 + (2) + 4 + . . . + 256

= 1, = = 2 1 = 256

EMBED Equation.DSMT4 = 256 1 . = 1 = 8 = 9 =

EMBED Equation.DSMT4 = 1 . = =

11. . 3 , 12 ; , = 2.

= 3 = 2. = 13 (, , . . . , )

=

EMBED Equation.DSMT4 = 3 .

12. 60 . 4 .

, - . =

.

= 60 = 20 = .

=

EMBED Equation.DSMT4 = 20. = 20 . = m. 1. - = . .

= = = =


= = 2 . = =

2. , , ;

: 5 0 10 + 4 0 + 2 0

5 2 5 , , .

= = 10 + 4 = ( 5)( + 2) 10 + 4 = + 2 5 10 13 14 = 0 = 169 + 56 = 225, = = = 14 1 3. :

i)

.ii) k,

.

ii) i)

, , . . .

= ,

=

EMBED Equation.DSMT4 , , . . . .

4. , 3 + 4(3 + ).

+ = 3 + + = 3 + (1 + ) = 3 + (1)

+++ = 4(3 + ) + = 3 (3 + )

EMBED Equation.DSMT4 +

EMBED Equation.DSMT4 = 3 (3 + )

EMBED Equation.DSMT4 (1 + ) = 3 (3 + ) (2) 1 + = 0, = 1, (2)

1 + 0, 1,

= 3 = = ) = , (4) (1 + ) = 3 + =

= = = =

) = , (4) (1 ) = 3 +

= = =

= =

5. 10 , + = 34 + = 68.

+ = 34 +

EMBED Equation.DSMT4 = 34 (1 + ) = 34 (1)

+ = 68

EMBED Equation.DSMT4 +


EMBED Equation.DSMT4 (1 + ) = 68 (2)

= 2(1) 2 (1 + ) = 34 2. 17 = 34 = 1

=

EMBED Equation.DSMT4 = 1. =

6.

90 2% . , , () .

10 ;

[ ]

,

+1 +1 = + = 1,02 +1 =1,02 1 = 90 + 90= 90 1,02 /

1 = 90 1,02 = 1,02

= 1 -1 = 90 1,02 1,02-1 = 90 1,02 10 10 = 90 1,0210 901,22 /

7.

10% .

, ,

, 10 ; [ ]

+1 =

EMBED Equation.DSMT4 = = 0,9 1 = 0,9 1 = 0,9 = 0,9

= 1-1 = 0,9 0,9-1 = 0,9 10 ,

10 = 0,9010 0,35 8.

C 261 Hz C . C C 11 , C C 13 .

i) ii) .

i) C C 11 1 = 261 13 = 2261 = 522

13 = 112

522 = 261 12

12 = 2

= ( > 0

)ii) 5 5 = 14 = 261

9.

40 lt . 4 lt . 4lt .. . D , , :

i) D

ii) ,

7 . [ ]

i) D +1 = D

D = 0,9 D D1 = 404 = 36 D

D1 = 36, = 0,9 D = D1-1 = 360,9 -1

ii)

7 , D7 = 360,9 7-1 = 360,96 = 19,13 lt

4019,13 = 20,87 lt . 10.

. : 1 , 2 2 3 4 , 5 8 .

1 Kg 20000 .

64 1 = 1 = 2

S64 = = 2641

9,2 . 1014 Kg = 9,2 . 1011 .

_1317651947.unknown

_1317705193.unknown

_1317791675.unknown

_1317824848.unknown

_1317932089.unknown

_1410447391.unknown

_1410448618.unknown

_1410449107.unknown

_1410449287.unknown

_1410449475.unknown

_1410449616.unknown

_1410449670.unknown

_1410449868.unknown

_1410449573.unknown

_1410449344.unknown

_1410449169.unknown

_1410449273.unknown

_1410449136.unknown

_1410448935.unknown

_1410449078.unknown

_1410448702.unknown

_1410448860.unknown

_1410448629.unknown

_1410447772.unknown

_1410448242.unknown

_1410448278.unknown

_1410448124.unknown

_1410447828.unknown

_1410447893.unknown

_1410447532.unknown

_1410447573.unknown

_1410447484.unknown

_1410446958.unknown

_1410447195.unknown

_1410447347.unknown

_1410447384.unknown

_1410447047.unknown

_1410447123.unknown

_1410446998.unknown

_1317933440.unknown

_1358343877.unknown

_1358348972.unknown

_1410446862.unknown

_1358349032.unknown

_1358348847.unknown

_1357393539.unknown

_1357396017.unknown

_1357397261.unknown

_1358332425.unknown

_1357397326.unknown

_1357397186.unknown

_1357394795.unknown

_1357395852.unknown

_1357395995.unknown

_1357394891.unknown

_1357393583.unknown

_1357392156.unknown

_1357392418.unknown

_1317933465.unknown

_1317932870.unknown

_1317933334.unknown

_1317933375.unknown

_1317933210.unknown

_1317932727.unknown

_1317932796.unknown

_1317932349.unknown

_1317932396.unknown

_1317932475.unknown

_1317932133.unknown

_1317872631.unknown

_1317919124.unknown

_1317931396.unknown

_1317931724.unknown

_1317931901.unknown

_1317931992.unknown

_1317931884.unknown

_1317931579.unknown

_1317931658.unknown

_1317930440.unknown

_1317931014.unknown

_1317931029.unknown

_1317931384.unknown

_1317930748.unknown

_1317930310.unknown

_1317930356.unknown

_1317919808.unknown

_1317919830.unknown

_1317919930.unknown

_1317920160.unknown

_1317919887.unknown

_1317919821.unknown

_1317919503.unknown

_1317916012.unknown

_1317916909.unknown

_1317918729.unknown

_1317918932.unknown

_1317919005.unknown

_1317919101.unknown

_1317918987.unknown

_1317918760.unknown

_1317918906.unknown

_1317918537.unknown

_1317918564.unknown

_1317916958.unknown

_1317916670.unknown

_1317916732.unknown

_1317916744.unknown

_1317916720.unknown

_1317916430.unknown

_1317916540.unknown

_1317916578.unknown

_1317916345.unknown

_1317872762.unknown

_1317915883.unknown

_1317915912.unknown

_1317915938.unknown

_1317872844.unknown

_1317915663.unknown

_1317915719.unknown

_1317874207.unknown

_1317872804.unknown

_1317872665.unknown

_1317825920.unknown

_1317871808.unknown

_1317872326.unknown

_1317872577.unknown

_1317872610.unknown

_1317872368.unknown

_1317871880.unknown

_1317872112.unknown

_1317871854.unknown

_1317871748.unknown

_1317871767.unknown

_1317871779.unknown

_1317826049.unknown

_1317871139.unknown

_1317871679.unknown

_1317826048.unknown

_1317825668.unknown

_1317825717.unknown

_1317825888.unknown

_1317824849.unknown

_1317825397.unknown

_1317792736.unknown

_1317823894.unknown

_1317824589.unknown

_1317824699.unknown

_1317824734.unknown

_1317824686.unknown

_1317824344.unknown

_1317824408.unknown

_1317792973.unknown

_1317793023.unknown

_1317822881.unknown

_1317792861.unknown

_1317792915.unknown

_1317792778.unknown

_1317792405.unknown

_1317792549.unknown

_1317792572.unknown

_1317792700.unknown

_1317792508.unknown

_1317792454.unknown

_1317791895.unknown

_1317792378.unknown

_1317791773.unknown

_1317791865.unknown

_1317791717.unknown

_1317706712.unknown

_1317788282.unknown

_1317790577.unknown

_1317791154.unknown

_1317791588.unknown

_1317791610.unknown

_1317791334.unknown

_1317791355.unknown

_1317790804.unknown

_1317790913.unknown

_1317791046.unknown

_1317790850.unknown

_1317790717.unknown

_1317790765.unknown

_1317790794.unknown

_1317790663.unknown

_1317789622.unknown

_1317790093.unknown

_1317790283.unknown

_1317790512.unknown

_1317790246.unknown

_1317789842.unknown

_1317789880.unknown

_1317789672.unknown

_1317788751.unknown

_1317788925.unknown

_1317789359.unknown

_1317788795.unknown

_1317788350.unknown

_1317788600.unknown

_1317788654.unknown

_1317788395.unknown

_1317788329.unknown

_1317707120.unknown

_1317707655.unknown

_1317788158.unknown

_1317788201.unknown

_1317787935.unknown

_1317788099.unknown

_1317707758.unknown

_1317787858.unknown

_1317787905.unknown

_1317787752.unknown

_1317707732.unknown

_1317707411.unknown

_1317707484.unknown

_1317707496.unknown

_1317707462.unknown

_1317707349.unknown

_1317707400.unknown

_1317707194.unknown

_1317707229.unknown

_1317707140.unknown

_1317706887.unknown

_1317706921.unknown

_1317706985.unknown

_1317707082.unknown

_1317706900.unknown

_1317706833.unknown

_1317705601.unknown

_1317706610.unknown

_1317706659.unknown

_1317706672.unknown

_1317706640.unknown

_1317705679.unknown

_1317705699.unknown

_1317706280.unknown

_1317705655.unknown

_1317705344.unknown

_1317705568.unknown

_1317705354.unknown

_1317705542.unknown

_1317705273.unknown

_1317705299.unknown

_1317705249.unknown

_1317658233.unknown

_1317704148.unknown

_1317704197.unknown

_1317704480.unknown

_1317705079.unknown

_1317705121.unknown

_1317705140.unknown

_1317704561.unknown

_1317704592.unknown

_1317705067.unknown

_1317704535.unknown

_1317704314.unknown

_1317704402.unknown

_1317704430.unknown

_1317704382.unknown

_1317704253.unknown

_1317704271.unknown

_1317704217.unknown

_1317704173.unknown

_1317658518.unknown

_1317703615.unknown

_1317703738.unknown

_1317704036.unknown

_1317704106.unknown

_1317704005.unknown

_1317703985.unknown

_1317703662.unknown

_1317703706.unknown

_1317703651.unknown

_1317658640.unknown

_1317703521.unknown

_1317703594.unknown

_1317703438.unknown

_1317658604.unknown

_1317658320.unknown

_1317658365.unknown

_1317658451.unknown

_1317658345.unknown

_1317658281.unknown

_1317658295.unknown

_1317658261.unknown

_1317657399.unknown

_1317657936.unknown

_1317658031.unknown

_1317658111.unknown

_1317658121.unknown

_1317657989.unknown

_1317657883.unknown

_1317657915.unknown

_1317657485.unknown

_1317657791.unknown

_1317657848.unknown

_1317657619.unknown

_1317657432.unknown

_1317657176.unknown

_1317657275.unknown

_1317657326.unknown

_1317657363.unknown

_1317657310.unknown

_1317657217.unknown

_1317657244.unknown

_1317657193.unknown

_1317652065.unknown

_1317657139.unknown

_1317657157.unknown

_1317652104.unknown

_1317652022.unknown

_1317652034.unknown

_1317651987.unknown

_1317620344.unknown

_1317621316.unknown

_1317650922.unknown

_1317651028.unknown

_1317651288.unknown

_1317651309.unknown

_1317651156.unknown

_1317650971.unknown

_1317650740.unknown

_1317650784.unknown

_1317650854.unknown

_1317650752.unknown

_1317650635.unknown

_1317650699.unknown

_1317621387.unknown

_1317620715.unknown

_1317621174.unknown

_1317621237.unknown

_1317621294.unknown

_1317621190.unknown

_1317621057.unknown

_1317621099.unknown

_1317621007.unknown

_1317620912.unknown

_1317620976.unknown

_1317620566.unknown

_1317620670.unknown

_1317620698.unknown

_1317620596.unknown

_1317620444.unknown

_1317620508.unknown

_1317620404.unknown

_1317619521.unknown

_1317619862.unknown

_1317620066.unknown

_1317620164.unknown

_1317620200.unknown

_1317620130.unknown

_1317619981.unknown

_1317620050.unknown

_1317619906.unknown

_1317619602.unknown

_1317619634.unknown

_1317619744.unknown

_1317619608.unknown

_1317619534.unknown

_1317619373.unknown

_1317619470.unknown

_1317619487.unknown

_1317619397.unknown

_1317619418.unknown

_1317619374.unknown

_1317619126.unknown

_1317619183.unknown

_1317619242.unknown

_1317619175.unknown

_1317618726.unknown

_1317618998.unknown

_1317618779.unknown

_1317618865.unknown

_1317618535.unknown

_1317618656.unknown

_1317618444.unknown

_1317618472.unknown

_1317618413.unknown

721-5.3

Documents