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

JEE Advanced Mathematics question

Not in JEE syllabus

Let . The greatest value of the integer which divides for all is

Answer: (B)

*9 always divides .* Write

f(n)=-1)+3·+6=-1)++1),

since . - . - with odd: is divisible by for odd , so

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Question ID VK-108333