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Use Mathematical Induction to Prove That the Statement Is True 12+42+72+…+(3n−2)2=n(6n2−3n−1)21 ^ { 2 } + 4 ^ { 2 } + 7 ^ { 2 } + \ldots + ( 3 n - 2 ) ^ { 2 } = \frac { n \left( 6 n ^ { 2 } - 3 n - 1 \right) } { 2 }

Question 40

Essay

Use mathematical induction to prove that the statement is true for every positive integer n.
- 12+42+72+…+(3n−2)2=n(6n2−3n−1)21 ^ { 2 } + 4 ^ { 2 } + 7 ^ { 2 } + \ldots + ( 3 n - 2 ) ^ { 2 } = \frac { n \left( 6 n ^ { 2 } - 3 n - 1 \right) } { 2 }

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