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Given a G.P. with a = 729 and 7^(t h)te...

Given a G.P. with a = 729 and `7^(t h)`term 64, determine `S_7`.

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To solve the problem step by step, we will follow the process of finding the common ratio of the geometric progression (G.P.) and then calculating the sum of the first seven terms. ### Step 1: Identify the given information We are given: - First term \( a = 729 \) - Seventh term \( a r^6 = 64 \) ### Step 2: Set up the equation for the seventh term ...
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NCERT ENGLISH-SEQUENCES AND SERIES-EXERCISE 9.3
  1. Show that the ratio of the sum of first n terms of a G.P. to the su...

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  2. Find a G.P. for which sum of the first two terms is - 4 and the fift...

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  3. If the 4^(t h), 10^(t h)and 16^(t h)terms of a G.P. are x, y and z, r...

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  4. The sum of first three terms of a G.P. is 16 and the sum of the next ...

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  5. Given a G.P. with a = 729 and 7^(t h)term 64, determine S7.

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  6. The sum of first three terms of a G.P. is (39)/(10) and their product ...

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  7. How many terms of G.P. 3,3^2,3^3,dotdotdotare needed to give the sum 1...

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  8. Find the sum to indicated number of terms in each of the geometric pr...

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  9. Evaluate sum(k=1)^(11)(2+3^k)

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

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  11. Find the sum of the products of the corresponding terms of the sequ...

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  12. Find the 20^(t h)and n^(t h)terms of the G.P. 5/2,5/4,5/8,dotdotdot

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  13. The 5^(t h), 8^(t h)and 11^(t h)terms of a G.P. are p, q and s, respe...

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  14. Find the 12^(t h)term of a G.P. whose 8th term is 192 and the common ...

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  15. Which term of the following sequences:(a) 2,2sqrt(2),4,. . . is 128? (...

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  16. The 4^(t h)term of a G.P. is square of its second term, and the first...

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  17. Find the sum to indicated number of terms in each of the geometric pr...

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  18. For what value of x, the number -2/7,x ,-2/7are in G.P.?

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  19. Find the sum to indicated number of terms in each of the geometric pr...

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  20. Find the sum to indicated number of terms in each of the geometric pr...

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