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The sum of the series 1+3x+6x^2+10x^3+……...

The sum of the series `1+3x+6x^2+10x^3+………….infty` is:

A

`1/(x-1)^3`

B

`1/(1-x)^2`

C

`1/(x-3)^2`

D

None of these

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JBD PUBLICATION-SEQUENCES AND SERIES-EXAMPLE
  1. The sum of the series 1+3x+6x^2+10x^3+………….infty is:

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  2. Insert five numbers between 8 and 26 such that the resulting sequence ...

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  3. Find the indicated terms of the sequences given below whose nth terms ...

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  4. Find the indicated terms of the sequences given below whose nth terms ...

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  5. First term of a sequence is 1 and the (n+1)th term is obtained by addi...

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  6. Show that the sequence whose n^(th) term is 2n^2 + n + 1 is not an A....

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  7. Determine k so that k+2, 4k-6 and 3k-2 are three consecutive terms of...

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  8. Show that the sum of (m+n)^(th) and (m -n)^(th) terms of an A.P. is eq...

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  9. Find the sum of all two digit numbers which when divided by 4, yields ...

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  10. If the lengths of the sides of a right angled triangle are in A.P., th...

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  11. Which term of the following sequence:- sqrt3,3,3sqrt3,....is 729?

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  12. Find the 10th term of a G.P. whose 8th term is 192 and the common rati...

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  13. The 5th, 8th and 11th terms of a G.P. are p, q and x, respectively. Sh...

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  14. If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively...

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  15. If A.M. and G.M of roots of a quadratic equations are 6 and 5 respecti...

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  16. Prove that 1/3^2xx1/3^4xx1/3^8............=3

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  17. Prove that 1/4^3xx1/4^9xx1/4^(27)……………..=8

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  18. Find the sum of n terms of the series whose nth term is given by n^2+2...

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  19. A man starts repaying a loan as first instalment of Rs. 100. If he inc...

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  20. Find the sum of first n terms of an A.P. whose nth term is 3n+1.

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  21. If 3rd term of a G.P. is 324 and 7th term is 64, then find the 10th te...

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