Divergent_Integral
Spastic ricecel, heightmogged by 99.74% of men
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- Jul 3, 2020
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I've decided to make a new thread for every daily math problem, so as to have each problem on the thread's first page. I hope it's okay by the mods.
3^(2n + 1) + 2^(n - 1) is divisible by 7 (with remainder 0).
Hint: you may want to use mathematical induction. First, you prove that the statement is true for n = 1. Next, you prove that, assuming the statement is true for some natural number N, it is also true for N + 1.
I've decided to make a new thread for every daily math problem, so as to have each problem on the thread's first page. I hope it's okay by the mods.
Problem #0003
Prove that, for all natural numbers n,3^(2n + 1) + 2^(n - 1) is divisible by 7 (with remainder 0).
Hint: you may want to use mathematical induction. First, you prove that the statement is true for n = 1. Next, you prove that, assuming the statement is true for some natural number N, it is also true for N + 1.
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