Question

Given the recursive formula, u(1) = 52 and u(n + 1) = u(n) + 4, for n = 1, 2, 3, . . ., find the explicit formula for u(n).

Answer 1

That's an arithmetic progression whose first term is 52 and common difference is 4, so

Answer: u(n) = 52 + 4(n-1)