# How do you write a rule for the nth term of the arithmetic sequence and then find a_10 for -25, -29, -33, -37, -41?

##### 1 Answer
May 12, 2017

nth term = $- 4 n - 21$
10th term = -61

#### Explanation:

nth term = $a + \left(n - 1\right) d$
where a = first term of the sequence and d is the constant added or subtracted between successive terms

Here we will substitute a with -25 and d with -4
nth term = $- 25 + \left(n - 1\right) - 4$
= $- 25 + \left(- 4 n + 4\right)$
= $- 25 - 4 n + 4$
= $- 4 n - 21$
10th term = $- 4 \left(10\right) - 21$
= $- 40 - 21$
= $- 61$