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Sequences and Series question

2024 · 30 Jan · Shift 1 · Q58

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JEE Main
Mathematics
Sequences and Series
2024 · 30 Jan · Shift 1 · Q58

Sequences and Series question

2024 · 30 Jan · Shift 1 · Q58

JEE MainMathematicsSequences and SeriesNumerical+4 / −1

Let

\alpha=1^2+4^2+8^2+13^2+19^2+26^2+\ldots

upto 10 terms and

\beta=\sum_{n=1}^{10} n^4

. If

4 \alpha-\beta=55 k+40

, then

\mathrm{k}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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