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The sum of some terms of GP. is 315 whos...

The sum of some terms of GP. is 315 whose first term and the common ratio are 5 and 2 respectively. Find the last term and the number of terms.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Find a G.P. for which sum of the first two terms is -4 and the fifth t...

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

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  3. The sum of some terms of GP. is 315 whose first term and the common ra...

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  4. Find the sum to.n terms of the following series 5+ 55 + 555+………..

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  5. Sum to n terms: 9+ 99 + 999 + ......

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  6. Sum to n terms: 3 + 33+ 333 +..........

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  7. Find the sum of the sequence 7, 77, 777, 7777,.....up to n terms.

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  8. Sum to n terms: 8 + 88 + 888+..........

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  9. The sum of first 20 terms of the sequence 0.7,0.77,0.777,"……" is

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  10. Find the sum to n terms 0.6 + 0.66 + 0.666 + ………..

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  11. Sum to n terms: 0.3+ 0.33 +0.333 +.......

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  12. Sum to n terms: 0.5+0.55 + 0.555 +...

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  13. Find the sum to n terms 0.6 + 0.66 + 0.666 + ………..

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  14. If 1/(1+l)=v, prove that : v+v^(2)+v^(3)+………+v^(n)=(1-v^(n))/l.

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  15. Find the sum to n terms of the sequence : 1,-1,1,-1,........ ,(-1)^(n+...

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  16. If the sum of first 10 terms is 33 times the sum of first 5 terms of G...

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

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

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  19. If S1,S2,S3 be the sum of n, 2n, 3n terms of a G.P., show that : S1(S3...

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  20. An inventor of the chess board suggested a reward of one grain of whea...

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