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Use Mathematical Induction to Prove the Following for Every Positive nn

Question 48

Essay

Use mathematical induction to prove the following for every positive integer nn .
∑i=1n15(2i−1)(2i+1)=15n2n+1\sum _ { i = 1 } ^ { n } \frac { 15 } { ( 2 i - 1 ) ( 2 i + 1 ) } = \frac { 15 n } { 2 n + 1 }

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