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Sequences and Series · 2010 · Shift 1

1 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2010 · Shift 1
Mathematics
Sequences and Series

Sequences and Series · 2010 · Shift 1

1 Mathematics questions from this JEE Advanced paper

Q34.Let $S_{k}$ = 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 $\frac{100 ^{2}}{100 !} + k = 1 \sum 100 (k^{2} - 3 k + 1) S_{k}$ …
Mathematics · Sequences and Series · Numerical