Question

Shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. Which formula could represent their sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14… — -0.1 — -0.01 — 0.01 — 0.1

Answer 1

`f(n+1) = f(n) + 5`

Explanation:

Required

Recursive function to represent the scenario

Let the current term be f(n);

This means that the next term will be: f(n + 1);

From the question, 5 is added to f(n) to get f(n + 1).

Hence, the function is:

`f(n+1) = f(n) + 5`