JEE Main 202430 Jan, Morning shiftMathematicsMediumSequence and Series179× since 2002Let α=12+42+82+132+192+262+…\alpha=1^2+4^2+8^2+13^2+19^2+26^2+\ldotsα=12+42+82+132+192+262+… upto 10 terms and \beta=\sum_\limits{n=1}^{10} n^4. If 4α−β=55k+404 \alpha-\beta=55 k+404α−β=55k+40, then k\mathrm{k}k is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution