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Let S be the sum, P the product and R th...

Let S be the sum, P the product and R the sum of reciprocals of n terms in a G.P. Prove that `P^(2)R^(n) = S^(n)`.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
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  7. Write the first four terms of the following sequence whose nth terms a...

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  9. Write the first four terms of the following sequence whose nth terms a...

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  10. Write the first five terms of the following sequence whose nth terms a...

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  13. Write the first five terms of the sequences given below whose nth term...

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  15. What is the 19th term of the sequence : a(n) = (n(n-2))/(n+3)?

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  16. Find the term indicated in the following case : t(n)=4^(n)+n^(2)-n+1...

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  17. Find the term indicated in the following case : h(n)=n^(2)-3n+4, h(1...

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  18. Find the term indicated in the following case : an= n^2/2^n , a7.

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  19. Find the term indicated in the following case : an= (-1)^(n-1) n^3 ,...

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  20. Find the term indicated in the following case : an= (n(n-2))/(n-3), ...

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  21. Find the first five terms of the sequence and write corresponding seri...

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