Q27 of 30 Page 70

For all n ϵ N, 3.52n + 1 + 23n + 1 is divisible by

Given; P(n): 3.52n + 1 + 23n + 1

⇒ P(1) = 3.52+1 + 23 + 1 = 375 + 16 = 391 = 17 × 23


⇒ P(2) = 3.54+1 + 26+1 = 9375 + 256 = 9503 = 17 × 559


These are divisible by 17

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