Use mathematical induction to prove the following inequality for all $n \geq 2$.
$$( 3 ) ^ { n + 2 } \frac { 9 } { 32 } n ( 2 ) ^ { n + 5 }$$

Name: Use mathematical induction to prove the following inequality for all $n \geq 2$. \[( 3 ) ^ { n + 2 } > \frac { 9 } { 32 } n ( 2 ) ^ { n + 5 }\]
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Question

Use mathematical induction to prove the following inequality for all $n \geq 2$.
$$( 3 ) ^ { n + 2 } > \frac { 9 } { 32 } n ( 2 ) ^ { n + 5 }$$

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The Answer of Use mathematical induction to prove the following inequality for all $n \geq 2$.
$$( 3 ) ^ { n + 2 } > \frac { 9 } { 32 } n ( 2 ) ^ { n + 5 }$$

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

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