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The nth term of a series is given by t(n...

The nth term of a series is given by `t_(n)=(n^(5)+n^(3))/(n^(4)+n^(2)+1)` and if sum of its n terms can be expressed as `S_(n)=a_(n)^(2)+a+(1)/(b_(n)^(2)+b)` where `a_(n)` and `b_(n)` are the nth terms of some arithmetic progressions and a, b are some constants, prove that `(b_(n))/(a_(n))` is a costant.

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FIITJEE-PROGRESSION & SERIES -ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL-II
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  9. If m is negative or positive and greater than 1 , show that 1^(m)+...

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  10. Let a,b,c be three distinct positive real numbers in G.P , then pr...

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  11. The nth term of a series is given by t(n)=(n^(5)+n^(3))/(n^(4)+n^(2)+1...

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  12. If sum(r=1)^n tr=n/8(n+1)(n+2)(n+3), then find sum(r=1)^n1/(tr)dot

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