# How do you find the first five terms given a_1=13 and a_(n+1)=a_n+5?

Nov 6, 2016

The first five terms are $13 , 18 , 23 , 28 , 33$.

#### Explanation:

Find the first five terms given ${a}_{1} = 13$ and ${a}_{n + 1} = {a}_{n} + 5$.

This is a recursively defined sequence. In other words, the next term is calculated used the value of the previous term.

In this example, to find the next term ${a}_{n + 1}$, add $5$ to the previous term ${a}_{n}$.

${a}_{1} = 13$

${a}_{2} = 13 + 5 = 18$

${a}_{3} = 18 + 5 = 23$

${a}_{4} = 23 + 5 = 28$

${a}_{5} = 28 + 5 = 33$