Question Detail
Question
If n ∈ N, then 11^(n+2) + 12^(2n+1) is divisible by
Correct Answer
Option C is the correct answer.
Detailed Explanation
For n=1: 11³ + 12³ = 1331 + 1728 = 3059. 3059/133 = 23, since 133×23 = 3059. So divisible by 133. This can be proven by induction.
Hint
Test with n=1 to find a possible divisor.