# What is the 31st term of the sequence -108, -90, -72, -54?

Aug 7, 2016

432

#### Explanation:

Arithmetic sequence with first term $a = - 108$ and common difference $d = 18$.

${n}^{t h}$ term of arithmetic sequence given by:

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

${x}_{31} = - 108 + 30 \cdot 18 = 432$