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Find the sum of the following geometric ...

Find the sum of the following geometric series: `a/(1+i)+a/((1+i)^2)+a/((1+i)^3)++a/((1+i)^n)dot`

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. Find the sum of n terms of series (x+y) + (x^2+ xy +y^2)+(x^3+x^2y+xy^...

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  2. Find the sum of the series upto infinite terms 3/4-5/4^2+3/4^3-5/4^4+....

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  3. Find the sum of the following geometric series: a/(1+i)+a/((1+i)^2)+a/...

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  4. Find the sum of the following geometric series: 1,\ -a,\ a^2,-a^3,... ...

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  5. Find the sum of the following geometric series: x^3, x^5, x^7, to\ n ...

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  6. Find the sum of the following geometric series: sqrt(7),sqrt(21),3sqrt...

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  7. Evaluate the following: sum(n=1)^(11)(2+3^n)

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  8. Evaluate the following: sum(n=2)^(10)4^n

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  9. Find the sum of the following series: 5+55+555+ to\ n\ t e r m sdot

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  10. Find the sum of the following series : 0. 7+0. 77+0. 777+...... ton t...

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  11. Find the sum of the following series: 9+99+999+ to\ n\ t e r m s

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  12. Find the sum of the following series: 0. 5+0. 55+0. 555+ to\ n\ t e r ...

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  13. Find the sum of the following series: 0. 6+0. 66+0. 666 to\ n\ t e r ...

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  14. How many terms of the series 3,6,12,.. having sum 381?

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  15. .Find the G.P., if the common ratio of G.P. is 3, nth term is 486 and ...

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  16. The ratio of the sum of first three terms to the sum of first six term...

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  17. The 4th and 7th terms of a G.P. are 1/(27)a n d1/(729) respectively. F...

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  18. Show that the ratio of the sum of first n terms of a G.P. to the su...

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  19. If a\ a n d\ b are the roots of x^2-3x+p=0\ a n d\ c ,\ d are the root...

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  20. How many terms of the G.P. 3,3//2,3//4, be taken together to make (30...

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