Easy Sequence Shot...
Algebra
Level
3
If N= 5/3^2.7^2 +9/7^2.11^2 +13/11^2.15^2 +.....upto infinity. Then N is equal to
1/54
1/72
1/108
1/36
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1 solution
nth term= (4n+1)/(4n-1)^2*(4n+3)^2| 1/8 [1/(4n-1)^2 - 1/(4n+3)^2]| Then putting values n=1,2,3 All terms except 1st one will get cancelled. Answer is 1/8 *1/9=1/72