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If the first term of a G.P is 27 and 8th...

If the first term of a G.P is 27 and 8th term is `1/81`, then the sum of its first 10 terms is (i) `27/2(1-1/(3^(10)))` (ii) `81/2(1/(3^(10))-1)` (iii) `27/2(1/(3^(10))-1)` (iv) `81/2(1-1/(3^(10)))`

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The correct Answer is:
`(81)/(2)(1-(1)/(3^(10)))`
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ICSE-GEOMETRIC PROGRESSION -Exercise 11(D)
  1. Find the sum of G.P. : sqrt(3)+(1)/(sqrt(3))+(1)/(3sqrt(3))+ . . . ....

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  2. How many terms of the geometric progression 1+4+16+64+ . . . . .. . . ...

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  3. If the first term of a G.P is 27 and 8th term is 1/81, then the sum of...

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  4. A boy spends Rs. 10 on first day, Rs. 20 on second day, Rs. 40 on thir...

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  5. The 4^(th) and the 7^(th) terms of a G.P. are (1)/(27) and (1)/(729) r...

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  6. A geometric progression has common ratio = 3 and last term = 486. If t...

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  7. Find the sum of G.P. : 3,6,12, . . . . . . . . ., 1536.

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  8. How many terms of the series 2+6+18+ . . . . . . . . . . . Must be tak...

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  9. In a G.P., the ratio between the sum of first three terms and that of ...

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  10. How many terms of the G.P. (2)/(9),-(1)/(3),(1)/(2), . . . . . . . ....

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  11. If the sum of 1+2+2^(2)+ . . . . . . . . . .+2^(n-1) is 255, find the ...

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  12. Find the geometric mean between : (4)/(9) and (9)/(4)

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  13. Find the geometric mean between : 14 and (7)/(32)

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  14. Find the geometric mean between : 2a and 8a^(3)

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  15. The sum of three numbers in G.P. is (39)/(10) and their product is 1. ...

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  16. The first term of a G.P. is -3 and the square of the second term is eq...

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  17. Find the 5^(th) term of the G.P. (5)/(2),1. . . . . . . . .

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  18. The first two terms of a G.P. are 125 and 25 respectively. Find the 5^...

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  19. Find the sum of the sequence -(1)/(3),1,-3,9, . . . . . . . Upto 8 te...

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  20. The first term of a G.P. in 27. If the 8^(th) term be (1)/(81), what w...

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