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Use Mathematical Induction to Prove the Following Inequality for All n≥2n \geq 2

Question 101

Essay

Use mathematical induction to prove the following inequality for all n≥2n \geq 2 .
123+146+169+…+123n>n23\frac { 1 } { \sqrt { 23 } } + \frac { 1 } { \sqrt { 46 } } + \frac { 1 } { \sqrt { 69 } } + \ldots + \frac { 1 } { \sqrt { 23 n } } > \frac { \sqrt { n } } { \sqrt { 23 } }

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