If ∑ni=1αi=an2+bn, where a, b are constants and α1,α2,α3ϵ{1,2,3 – InterviewSolution

1.	If ∑ni=1αi=an2+bn, where a, b are constants and α1,α2,α3ϵ{1,2,3,......,9} and 25α1,37α2,49α3 be three digit numbers, then ∣∣∣∣α1α2α357925α137α249α3∣∣∣∣=
Answer» If $\sum_{i = 1}^{n} α_{i} = a n^{2} + b n$ , where a, b are constants and $α_{1}, α_{2}, α 3 ϵ {1, 2, 3, . . . . . ., 9}$ and $25 α_{1}, 37 α_{2}, 49 α_{3}$ be three digit numbers, then $∣ ∣∣ ∣ \begin{matrix} α_{1} & α_{2} & α_{3} 5 & 7 & 9 25 α_{1} & 37 α_{2} & 49 α_{3} \end{matrix} ∣ ∣∣ ∣ =$

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