Let α, β (α ≠ β) be the values of m, for which the equations x +… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 29 January, Shift 2Solving Linear Equations (Matrix Method)

Let $\alpha, \beta \,(\alpha \neq \beta)$ be the values of $m$ , for which the equations $x + y + z = 1$ , $x + 2y + 4z = m$ , and $x + 4y + 10z = m^2$ have infinitely many solutions. Then the value of $\sum_{n=1}^{10} (n^{\alpha} + n^{\beta})$ is equal to:

A
$440$
B
$3080$
C
$3410$
D
$560$

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