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Use Mathematical Induction to Prove the Following for Every Positive nn

Question 104

Essay

Use mathematical induction to prove the following for every positive integer nn .
∑i=1n36i5=3n2(n+1)2(2n2+2n−1)\sum _ { i = 1 } ^ { n } 36 i ^ { 5 } = 3 n ^ { 2 } ( n + 1 ) ^ { 2 } \left( 2 n ^ { 2 } + 2 n - 1 \right)

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