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If the sum to infinity of the series : ...

If the sum to infinity of the series : `1-(1+d)xx1/3+(1+2d)xx1/9 -(1+3d)xx1/27+` ......... is `9/16`, find d .

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Find the sum to infinity of the following series : 1-2/3 + 3/3^2-4/3...

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  2. If the sum to infinity of the series 3+5r+7r^2+………is 44/9. Find r.

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  3. If the sum to infinity of the series : 1-(1+d)xx1/3+(1+2d)xx1/9 -(1+3...

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  4. Sum to n terms the series : 2+5x + 8x^2+11x^3+........., |x| < 1.

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  5. Prove that : 2^(1/4)xx4^(1/8)xx8^(1/16)xx16^(1/32)xx ....... → oo =2.

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  6. Find the sum of the following series : 2^2+4^2+6^2 + .... to n terms...

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  7. Find the sum of the following series : 1^3+3^3+5^3+ .... to n terms ...

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  8. Find the sum of the following series : 1.3+3.5+5.7+ .... to n terms...

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  9. Find the sum of the following series : 1.2+2.3+3.4+ .... to n terms...

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  10. Find the sum of n terms of the series 1. 2^2+2. 3^2+3. 4^2+

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  11. Find the sum of the following series : 3.1^2+5.2^2+7.3^2+ .... to n ...

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  12. Find the sum of the following series : 1.3.5+2.4.6 +3.5.7 + .... to ...

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  13. Find the sum of the following series : 5.6+6.7+7.8+ .... to 25 terms...

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  14. Find the sum of the following series : 3.8+6.11+9.14+ .... to n term...

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  15. Find the sum of the following series : 2^2+5^2+8^2+.... to 15 terms ...

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  16. Find the sum to n terms of the series given below:- 5^2 + 6^2 + 7^2 + ...

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  17. Find the sum of the following series : 1+(1+2)+(1+2+3)+ .... to n te...

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  18. Find the sum to n terms of the series 1^(2) + (1^(2) + 2^(2)) +(1^(2) ...

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  19. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

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  20. Find the sum of the first a terms of the series whose nth term is: ...

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