Let Sk,k=1,2,...,100, denote the sum of the infinite geometric series – InterviewSolution

1.	Let Sk,k=1,2,...,100, denote the sum of the infinite geometric series whose first term is k−1k! and the common ratio is 1k. Then the value of 1002100!+∑100k=1∣∣(k2−3k+1)Sk∣∣ is
Answer» Let $S_{k}, k = 1, 2, . . ., 100$ , denote the sum of the infinite geometric series whose first term is $\frac{k - 1}{k!}$ and the common ratio is $\frac{1}{k}$ . Then the value of $\frac{100^{2}}{100!} + \sum_{k = 1}^{100} ∣ ∣ (k^{2} - 3 k + 1) S_{k} ∣ ∣$ is

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