Binomial TheoremHard

Question

Let f(n) = 10n + 3.4n +2 + 5, n ∈ N. The greatest value of the integer which divides f(n) for all n is :

Options

A.27
B.9
C.3
D.None of these

Solution

f(n) = 10n + 3.4n+2 + 5
put  n = 1
f(1) = 10 + 192 + 5 = 207 this is divisible by 3 and 9   

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