Pentagonal Numbers - Finding The Formula

Which of the following functions satisfy f(n+1)f(n)=3n+1 f(n+1) - f(n) = 3n+1 and f(1)=1 f(1) = 1 ?


Do you understand why this gives us the formula for the nnth Pentagonal Number?

This question is part of Calvin's set What Makes A Number Pentagonal?

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