Let α = 1² + 4² + 8² + 13² ..… | JEE Main 2024 | Sequences

JEE MAIN 2024

30-01-2024 S1

Question

Let $\alpha=1^2+4^2+8^2+13^2+19^2+26^2+\cdots \ldots$ upto 10 terms and $\beta=\sum_{n=1}^{10} n^4$. If $4 \alpha-\beta=55 k+40$, then k is equal to

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Question Tags

JEE Main

Mathematics

Easy

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