JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

Sum of the series

\frac{1}{1 ! 50 !}+\frac{1}{3 ! 48 !}+\frac{1}{5 ! 46 !}+\cdots+\frac{1}{5 ! 0 !}

is:

View answer and explanation

Correct option: D

\frac{2^{50}}{51 !}

Option D (

\frac{2^{50}}{51 !}

) is correct because the sum of the series can be expressed as a binomial coefficient sum, which simplifies to

\frac{2^{50}}{51 !}

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