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

Find three numbers in G.P. whose sum is 13 and the sum of whose squares is 91.

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To find three numbers in Geometric Progression (G.P.) whose sum is 13 and the sum of whose squares is 91, we can follow these steps: ### Step 1: Define the terms of the G.P. Let the three numbers in G.P. be: - First term: \( a \) - Second term: \( ar \) - Third term: \( ar^2 \) ...
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AAKASH INSTITUTE ENGLISH-SEQUENCES AND SERIES -Try Yourself
  1. Find the three numbers in G.P. whose sum is 93 and whose product is 3...

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

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

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

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

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  6. The sum of four numbers in G.P is 60 and the arithmetic mean of the ...

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

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

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

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

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

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  12. A bag contains a total of 20 books on physics and mathematics, Any po...

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

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

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

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  16. Show that 9^(1/(4)).9^(1/(8)).9^(1/(16).) . .."to" oo = 3

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

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

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

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

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