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How many terms of G.P. 3, 3^(2), 3^(3), ...

How many terms of G.P. `3, 3^(2), 3^(3),` … are needed to give the sum 120?

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4
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NCERT TAMIL-SEQUENCES AND SERIES-EXERCISE 9.3
  1. Evaluate sum(k-1)^11(2+3^k)

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  2. The sum of first three terms of a G.P. is and their product is 1. Find...

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  3. How many terms of G.P. 3, 3^(2), 3^(3), … are needed to give the sum 1...

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  4. the sum of the first six terms of a GP is 9 times the sum of the first...

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  5. If the first term of a G.P. is 729 and its 7^(th) term is 64, then the...

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  6. Find a G.P. for which sum of the first two terms is – 4 and the fifth ...

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  7. If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively...

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  8. Find the sum to n terms of the sequence, 8, 88, 888, 8888… .

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  9. Find the sum of the products of the corresponding terms of the sequenc...

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  10. Show that the products of the corresponding terms of the sequences a, ...

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

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  12. If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and ...

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  13. If the first and the n^("th") term of a G.P. are a and b, respectivel...

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  14. Show that the ratio of the sum of first n terms of a G.P. to the sum o...

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  15. If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2) = (a...

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  16. Insert two numbers between 3 and 81 so that the resulting sequence is ...

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  17. Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...

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  18. The sum of two numbers is 6 times their geometric mean, show that numb...

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  19. If A and G be A.M. and G.M., respectively between two positive numbers...

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  20. The number of bacteria in a certain culture doubles every hour. If the...

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