Home Maths Binomial Theorem & Mathematical Induction General Let f(n) = 10 n + 3.4 n +2 + 5, n ∈ N. The g…
Maths Binomial Theorem & Mathematical Induction General Single Correct MCQ
Published on: August 14, 2026

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

A
27
B
9
C
3
D
None of these

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The correct answer is:
B

f(n) = 10 n + 3.4 n+2 + 5

put n = 1

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

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