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For how many positive integers n less than 100 is 5^n + 8^(n + 1) + 13^(n + 2) + 14^(n + 3) a multiple of 6?

 Jan 17, 2022
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n==2, 4, 6, 8, 10.........all multiples of 2........94, 96, 98 ==[98 - 2] / 2 + 1 ==49 such numbers.

 Jan 17, 2022

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