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If the sum of four numbers in G.P. is 60...

If the sum of four numbers in `G.P.` is `60` and the `A.M.` of he first and the last is `18` then the four terms of the `G.P.` are

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` 4, 8, 16, 32 or 32 , 16, 8 , 4 `
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AAKASH INSTITUTE-SEQUENCES AND SERIES -Try Yourself
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  2. Find four numbers forming a geometric progression in which the third ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Represent the following as rational numbers : (i) 0.bar(8)5 " " (...

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  17. Represent the following as rational numbers : (i) 0.bar15 " " (ii)...

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  18. If a, b, c , d are in G.P. , then shown that (i) (a + b)^(2) , (b ...

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  19. Find the G.M. between the numbers. (i) 6 and 216 " " (ii...

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  20. Find the G.P. between the numbers . 1 and (4)/(25) " " ...

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