Find ∑ k = 1 n ( k 2 + 1 ) k ! .

Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationnPr & nCrMedium2 minQB

MathematicsMediumsingle choice

Find $\sum_{k = 1}^{n} (k^{2} + 1) k!$ .

Answer:

Solution:

Since $(k^{2} + 1) k! = k (k + 1)! - (k - 1) k!$ , the series telescopes to $n (n + 1)!$ .

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:nPr & nCr

⏱ 2mℹ️ Source: QB

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