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Use Mathematical Induction to Prove the Given Statement for All i=1n2i2=n(n+1)(2n+1)3\sum _ { i = 1 } ^ { n } 2 i ^ { 2 } = \frac { n ( n + 1 ) ( 2 n + 1 ) } { 3 }

Question 187

Short Answer

Use mathematical induction to prove the given statement for all positive integers n.
- i=1n2i2=n(n+1)(2n+1)3\sum _ { i = 1 } ^ { n } 2 i ^ { 2 } = \frac { n ( n + 1 ) ( 2 n + 1 ) } { 3 }

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