JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The sum of the series

8 !+\frac{9 !}{2 !}+\frac{10 !}{3 !}+\frac{11 !}{4 !}+\ldots

. up to 20 terms

View answer and explanation

Correct option: C

7 !\left({ }^{28} C_{20}-1\right)

Option C (

7 !\left({ }^{28} C_{20}-1\right)

) is correct because the sum of the series can be simplified using combinatorial identities and adding/subtracting a constant.

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