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Find the sum to first n terms : 1+2/3...

Find the sum to first n terms :
`1+2/3 + 3/(3^2) + 4/(3^3)`+….

A

`3/4-3+2n/4(3^n-1)`

B

`9/4-3/4[3+2n//3^n]`

C

`2n-(1/n)^2`

D

none of these

Text Solution

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The correct Answer is:
B
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QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
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  2. Find the sum to infinity of the series 1+3x+5x^2+7x^3+oow h e n|x|<1.

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  3. Find the sum to first n terms : 1+2/3 + 3/(3^2) + 4/(3^3)+….

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  4. Find the sum to n terms of 3 * 2 + 5*2^2 + 7*2^3 + ….

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  5. Find the sum of the series 1+4/5+7/(5^2)+10/(5^3)+...

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  6. Find the sum of the series : 1*3^2 + 2* 5^2 + 3*7^2 + … to 20 terms...

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  9. The sum of an infinite G.P. is 16 and the sum of the squares of its te...

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  13. The sum of first two terms of a G.P. is 5/3 and the sum to infinity of...

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  14. A ball is dropped from a height of 96 feet and it rebounds 2/3 of the ...

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  15. Find the 10th term of the H.P. 1, 1/3 , 1/5 , 1/7 , 1/9 , 1/(11) ,….

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  16. If the 4th and the 7th terms of an H.P. are 1/2 and 2/7 respectively ....

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  17. Find the sum of n terms of the series 1+4/5+7/(5^2)+10+5^3+dot

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  18. Find the sum to n terms of the series 1+4/5+7/5^2+10/5^3+……find the su...

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  19. Which one of the following is true about A.M. , G.M. and H.M. :

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