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Question Number 102652 by Dwaipayan Shikari last updated on 10/Jul/20
2+18+156+1388+...nterms
Commented by Dwaipayan Shikari last updated on 10/Jul/20
Tn=n.7n−1+n2ΣTn=7n.(6n−1)+1+6n(n+1)(2n+1)36isit???????
Commented by prakash jain last updated on 10/Jul/20
Youcannotreallydeduceanyexpressiongivenonlyafinitenumberofterm.Supposeonly4termsaregivenf(n)=a0+a1n+a2n2+a3n3andsolvingforgivenvaluewillgiveyouonesolution.Iff(n)satifiesfirst4termstheng(n)=f(n)+(n−1)(n−2)(n−3)(n−4)h(n)willalsosatisfythegivencondition.whereh(n)isanyarbitraryfunctionofn.Tn=n7n−1+n2+(n−1)(n−2)(n−3)(n−4)h(n)isalsovalid.whereh(n)couldbeanything.
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