Question
Let $\alpha=1^2+4^2+8^2+13^2+19^2+26^2+\ldots$ upto 10 terms and $\beta=\sum_\limits{n=1}^{10} n^4$. If $4 \alpha-\beta=55 k+40$, then $\mathrm{k}$ is equal to __________.
Correct Answer
353
Let $\alpha=1^2+4^2+8^2+13^2+19^2+26^2+\ldots$ upto 10 terms and $\beta=\sum_\limits{n=1}^{10} n^4$. If $4 \alpha-\beta=55 k+40$, then $\mathrm{k}$ is equal to __________.