# What is the 17th term of the arithmetic sequence 16, 20, 24, …?

Aug 27, 2015

color(blue)(a_17 = 80

#### Explanation:

The sequence is
$16 , 20 , 24$

The common difference is
$d = 20 - 16 = 4$ or
$d = 24 - 20 = 4$

The 17th term can be obtained by formula
color(blue)(a_n=a_1+(n-1)*d

${a}_{1} = 16$ , $d = 4$ and $n = 17$

So,
color(blue)(a_17 = a_1 + (17-1)*4
$= 16 + 16 \cdot 4$
color(blue)(a_17 = 80