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Find the three numbers in G.P. whose sum...

Find the three numbers in G.P. whose sum is 93 and whose product is 3375 .

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3, 15, 75 or 75, 15 3
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AAKASH INSTITUTE-SEQUENCES AND SERIES -Try Yourself
  1. In any G.P. , prove that a(n-p) xxa(n+p) = (a(n))^(2) .

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  2. If a be the first term, l the nth and p the product of first n terms ...

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  3. Find the three numbers in G.P. whose sum is 93 and whose product is 33...

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  4. Find the three numbers in G.P. whose sum is 38 and whose product is 17...

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  5. Find three numbers in G.P. whose sum is 13 and the sum of whose square...

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  6. A number consists of three digits in G.P. The sum of unit's digit and ...

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  7. Find four numbers forming a geometric progression in which the third ...

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  8. If the sum of four numbers in G.P. is 60 and the A.M. of he first and ...

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  9. Find the sum of indicated number of terms of each of the following G.P...

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  10. Find the sum of the following series : (1)/(4) + (1)/(2) + 1 + … to...

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  11. Find the sum of indicated terms of each of the following geometric pro...

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  12. Find the sum to n terms (i) 9 + 99 + 999 + … (ii) 0.2 + 0.22...

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  13. How many terms of the series 1+2+2^2+….. must be taken to make 511?

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  14. .Find the G.P., if the common ratio of G.P. is 3, nth term is 486 and ...

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  15. Find the sum to infinity of the following G.P. (i) 1, (1)/(3) , (1)/...

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  16. Find the sum of the following series , (i) 0.5 + 0.05 + 0.005 + 0...

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  17. Prove that (9^(1/3).9^(1/9).9^(1/27)............oo)=3

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  18. Show that 9^(1/(4)).9^(1/(8)).9^(1/(16).) . .."to" oo = 2

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  19. The sum of an infinite G.P. . Is 6 and its first term is 2 . Find the ...

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  20. If the common ratio is -4/5 and the sum of infinite terms in a G.P is ...

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