# How do you complete the sentence: 68 is the __th term of the arithmetic sequence -2, 3, 8,...?

Oct 11, 2016

We use the formula ${t}_{n} = a + \left(n - 1\right) d$ to find the nth term of an arithmetic sequence.

$68 = - 2 + \left(n - 1\right) 5$

$68 = - 2 + 5 n - 5$

$68 = - 7 + 5 n$

$75 = 5 n$

$n = 15$

Hopefully this helps!