For how many positive integers n less than 100 is 5^n+8^{n+1}+11^{n+2}+5^{n+2} a multiple of 6?
I'm going to sleep, but I'll leave with the thought that maybe the recurrence relation MyAccountAccess Login
3n+2+5n+2=8(3n+1−5n+1)−15(3n+5n)
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+12 
