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If Sn denotes the sum of n terms of a G....

If `S_n` denotes the sum of n terms of a G.P. whose first term and common ratio are a and r respectively, then :
`S_1 +S_3+S_5+.....+S_(2n-1)= (an)/(1-r)-(ar(1-r^(2n)))/((1-r)^2 (1+r))`.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
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  2. Write the first three terms of the sequence defined by the following :...

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

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  4. Write the first five terms of the following functions whose nth terms ...

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

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

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

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  12. 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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  14. 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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