Let upto 10 terms and

MATHEMATICS · Subjective · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

Let α=12+42+82+132+192+262+…\alpha = 1^2 + 4^2 + 8^2 + 13^2 + 19^2 + 26^2 + \dots upto 10 terms and β=∑n=110n4\beta = \sum_{n=1}^{10} n^4. If 4α−β=55k+404\alpha - \beta = 55k + 40, then kk is equal to

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