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Sequences and Series question

2024 · 6 Apr · Shift 2 · Q58

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JEE Main
Mathematics
Sequences and Series
2024 · 6 Apr · Shift 2 · Q58

Sequences and Series question

2024 · 6 Apr · Shift 2 · Q58

JEE MainMathematicsSequences and SeriesNumerical+4 / −1

If

\mathrm{S}(x)=(1+x)+2(1+x)^2+3(1+x)^3+\cdots+60(1+x)^{60}, x eq 0

, and

(60)^2 \mathrm{~S}(60)=\mathrm{a}(\mathrm{b})^{\mathrm{b}}+\mathrm{b}

, where

a, b \in N

, then

(a+b)

equal to

\underline{\hspace{2cm}}

.

Numerical answer

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