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" If "S=(5)/(t^(2)*2^(2)*3)+(8)/(2^(2)*3...

" If "S=(5)/(t^(2)*2^(2)*3)+(8)/(2^(2)*3^(2)*4)+(11)/(3^(2)*4^(2)*5)+(14)/(4^(2)*5^(2)*6)+......." upto "oo" terms.Then "4S" is "

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if s is sum of 5/((1^2).(2^2).3)+8/((2^2).(3^2).4)+11((3^2).(4^2).5)+14/((4^2).(5^2).6)+...oo then 4S is equal to:

The sum of 1+(2)/(5)+(3)/(5^(2))+(4)/(5^(3))+.... upto n terms

(3)/(5)+(4)/(5^(2))+(3)/(5^(3))+(4)/(5^(4))+... to 2n terms

If S = (2^(2)-1)/(2)+(3^(2)-2)/(6)+(4^(2)-3)/(12)+ cdots upto 10 terms then S is equal to

Consider S_(n)=(1)/(3^(2)+1)+(1)/(4^(2)+2)+(1)/(5^(2)+3)+(1)/(6^(2)+4)+, upto n terms then

S_(n)=(1.2)/(3)+(2.3)/(3^(2))+(3.4)/(3^(3))......oo, then 4S is

3/(1^2 2^2)+5/(2^2 3^2)+7/(3^2 4^2)+ . . . upto 10th term

If S=(1)/(1+1^(2)+1^(4))+(2)/(1+2^(2)+2^(4))+(3)/(1+3^(2)+3^(4))+......oo then find the value of 14S.