Prove the following by the principle of mathematical induction: 22n(n!)2(2n)!≤3n+11 for all n∈N˙

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Prove the following by the principle of mathematical induction

Question

Prove the following by the principle of mathematical induction: $\frac{( 2 n ) !}{2 ^{2 n} ( n ! ) ^{2}} \leq \frac{1}{3 n + 1}$ for all $n \in N ˙$

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Prove the following by the principle of mathematical induction:

\frac{( 2 n ) !}{2 ^{2 n} ( n ! ) ^{2}} \leq \frac{1}{3 n + 1}

for all

n \in N ˙

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Question Text

Prove the following by the principle of mathematical induction:

\frac{( 2 n ) !}{2 ^{2 n} ( n ! ) ^{2}} \leq \frac{1}{3 n + 1}

for all

n \in N ˙