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