JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Analyzing +4 | -1

{S_n} = \left( {{1^2} - 1 + 1} \right)\left( {1!} \right) + \left( {{2^2} - 2 + 1} \right)\left( {2!} \right) + ...... + \left( {{n^2} - n + 1} \right)\left( {n!} \right),

then

{S_{50}}

is:

View answer and explanation

Correct option: B

1 + 49 \times 51!

Option B (

1 + 49 \times 51!

) is correct because by expressing the general term and summing the series, we find the value of S_{50}.

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