What is recursive relationship, and how is it calculated?

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I understand neither Brilliant's explanations nor your explanations of Brilliant's explanations, but since I've nowhere else to go, I'll ask your help again. What on earth is recursive relationship, and how is it calculated, what's the formula? Walk me through, but please do it so that I understand it this time. I tried Brilliant to boost my skills and confidence, but its highest achievement so far is making me feel dumb and hopeless (believe it or not, I used to be very good at math at school, or so it was believed)

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