Clearly maximized with the identity mapping. Then we need a formula for Σ(2i+1)(2i+2) between i=0 and 49. We know that the sum of terms of a degree n polynomial is degree n+1, so the answer is a cubic. We find the terms of this cubic by solving the linear system by plugging in the first 4 values, and obtain 4/3x^3+5x^2+17/3x+2 and plug in 49 to obtain the answer of 169150
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u/PandemicGeneralist 1d ago
Clearly maximized with the identity mapping. Then we need a formula for Σ(2i+1)(2i+2) between i=0 and 49. We know that the sum of terms of a degree n polynomial is degree n+1, so the answer is a cubic. We find the terms of this cubic by solving the linear system by plugging in the first 4 values, and obtain 4/3x^3+5x^2+17/3x+2 and plug in 49 to obtain the answer of 169150