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Ksivusya [100]
4 years ago
9

Prove that 3n< n! if n is an integer greater than 6.

Mathematics
1 answer:
Lera25 [3.4K]4 years ago
4 0
Let n=7. Then

3(7)=21

Assume the inequality holds for n=k, so that 3k. Then for n=k+1, you have, for k>7,

3(k+1)

so the statement is true.
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