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The sum of the infinite terms of the ser...

The sum of the infinite terms of the series `5/(3^2. 7^2)+9/(7^2. 11^2)+13/(11^2. 15^2).....` is

A

1/12

B

1/36

C

1/54

D

1/72

Text Solution

Verified by Experts

The correct Answer is:
D
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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
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  4. The sum to infinity of the series 1+2/3+6/3^2+10/3^3+14/3^4+....

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  5. The sum to n terms of the series 1+2(1+1/n)+3(1+1/n)^2+....... is give...

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  11. Let alpha , beta be the roots of x^2-x+p=0 and gamma,delta be the root...

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  12. If f(x) is a function satisfying f(x+y)=f(x)f(y) for all x,yin N such ...

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  13. Sum of n terms of the series 8+88+888+....equals

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  15. The sum of integer in between 1 to 100 which is divisible by 2 or 5 is

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  16. 1/2+3/4+7/8+15/16+..... t o n terms =

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  17. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

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  18. If x in{1,2,3......9} and fn(x) =x x x ...x (n digits ), then fn^2(3)+...

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  19. Four no. are in AP . If their sum is 20 and the sum of their squares i...

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  20. Sum of n terms of series 1.3+3.5+5.7+....is

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