# How do you complete the statement for the arithmetic sequence: 124 is the __ term of -2, 5, 12,...?

Nov 10, 2016

$124$ is the 19th term of -2, 5, 12....

#### Explanation:

The nth term of an arithmetic sequence is given by ${t}_{n} = a + \left(n - 1\right) d$. Here, we have that $a = - 2$, $d = 7$, ${t}_{n} = 124$ and n = ?

${t}_{n} = a + \left(n - 1\right) d$.

$124 = - 2 + \left(n - 1\right) 7$

$124 = - 2 + 7 n - 7$

$133 = 7 n$

$\frac{133}{7} = \frac{7 n}{7}$

$n = 19$

Hopefully this helps!