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Prove the following by using the principle of mathematical induction

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asked Dec 26, 2016 in Mathematics by sforrest072 (157,439 points) ● 61 ● 410 ● 943

Prove the following by using the principle of mathematical induction for all n ∈ N:
1.  41n – 14n is a multiple of 27.
2.  (2n + 7) < (n + 3)2.

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answered Dec 26, 2016 by vikash (21,277 points) ● 4 ● 19 ● 70
 
Best answer

1.  41n – 14n is a multiple of 27. 

2.  (2n + 7) < (n + 3)2.

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