# How do you write the nth term of the arithmetic sequence -26, -15, -4, 7,...?

Mar 5, 2017

$t \left(n\right) = 11 n - 37$

#### Explanation:

The way to get any equation off an arithmetic sequence is using this:

$t \left(n\right) = a + \left(n - 1\right) \left(d\right)$

d = the difference between two terms
n = term number
a = 1st term

As we can see from the sequence:

a = -26
d = 11

Substitute:

$\to t \left(n\right) = - 26 + \left(n - 1\right) \left(11\right)$
$\to t \left(n\right) = 11 n - 37$

P.S.
I'm not sure whether you want this type of nth term equation or the recursive one.