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It is given that 1/1^4 + 1/2^4 +1/3^4 …...

It is given that `1/1^4 + 1/2^4 +1/3^4` … to `oo= pi^4/90` , then `1/1^4 + 1/3^4 + 1/5^4` ….to `oo` is equal to :

A

`(pi^(4))/(96)`

B

`(pi^(4))/(45)`

C

`(89pi^(4))/(90)`

D

none of these

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A
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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Chapter Test
  1. If a,b,c are in H.P and ab+bc+ca=15 then ca=

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  2. If sum(r=1)^(oo)(1)/((2r-1)^(2))=(pi^(2))/(8), then sum(r=1)^(oo) (1)/...

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  3. It is given that 1/1^4 + 1/2^4 +1/3^4 … to oo= pi^4/90 , then 1/1^4...

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  4. The minimum number of terms from the beginning of the series 20+22(2)/...

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  5. The sum of the series 1-3+5-7+9-11+ . . . . To n terms is

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  6. If three positive unequal numbers a, b, c are in H.P., then

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  7. If the fifth term of a G.P. is 2, then write the product of its 9 t...

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  8. 1^3-2^3+3^3-4^3+........+9^3 is equal to

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  9. The sum of infinite number of terms in G.P. is 20 and the sum of their...

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  10. If 1, log (9) (3^(1 - x) + 2) and log(3) (4.3^(x) -1) are A.P. then...

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  11. Two sequences lta(n)gtandltb(n)gt are defined by a(n)=log((5^(n+1))/...

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  12. The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1...

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  13. Natural numbers are written as 1, (2,3), (4,5,6).. Show that the sum...

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  14. If the first term of an A.P. is 2 and common difference is 4, then ...

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  15. If 1+(1+2)/2+(1+2+3)/3+ddotto\ n terms is Sdot Then, S is equal to (n(...

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  16. The sum of 10 terms of the series sqrt(2)+sqrt(6)+sqrt(18)+ddoti s\ ...

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  17. The (m+n)th and (m-n)th terms of a GP are p and q, respectively. Then,...

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  18. The fourth, seventh and tenth terms of a G.P. are p,q,r respectively, ...

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  19. The sum of the integers from 1 to 100 which are not divisible by 3 or ...

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  20. Let the harmonic mean and geometric mean of two positive numbers be in...

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