Question

How do you find the explicit formula for the following sequence 5, 8, 11, 14, . . .?

Answer 1

An explicit formula of an arithmetic series includes all given information.

Explanation:

`t_n = a + (n - 1)d`

`t_n = 5 + (n - 1)3`

`t_n = 2 + 3n`

As you can see, we don't know the number of terms, so we leave it as n. We can find `t_n` with this formula by plugging in `t_n` or n.

Hopefully this helps!