Write a recursive formula for the sequence 5, 18, 31

Solution:

Given sequence :

5, 18, 31

The pattern is 18 - 5 = 13 and 31 - 18 = 13

An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same.

It is in arithmetic progression with a common difference as 13.

The formula is a_n = a₁ + (n - 1)d where a₁ is first term and d is the common difference.

Recursive Formula for the given sequence will be 5 + 13(n-1)

⇒ a_n = 13n - 8

Write a recursive formula for the sequence 5, 18, 31

Summary:

A recursive formula for the sequence 5, 18, 31 is a_n = 13n - 8