Question

F(n) = 93 + 4(n - 1)

Complete the recursive formula of f(n).
1. f(1) = ?
2. f(n) = f(n − 1)+ ?

Answer 1

To complete the recursive formula, we found that f(1) = 93 and the recursive part is f(n) = f(n - 1) + 4, indicating the function increases by 4 for each subsequent term.

Step-by-step explanation:

The student asked to complete the recursive formula for the function f(n) = 93 + 4(n - 1). To find the base case, f(1), we substitute n with 1: f(1) = 93 + 4(1 - 1) = 93 + 4(0) = 93. The recursive part of the formula, f(n) = f(n - 1) + 4, tells us how to find the value of f(n) from the previous term f(n - 1) by adding 4 each time, since the function increases by 4 with each subsequent term.