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

Jul 27, 2015

=a_17=color(blue)(80

#### Explanation:

The arithmetic sequence is
$16 , 20 , 24$

The common difference $d$ of this sequence is
$d = 20 - 16 = 4$

The formula for ${n}_{t h}$ of an arithmetic series is:
color(blue)(a_n = a_1+(n-1)(d)

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

So, ${a}_{17} = 16 + \left(17 - 1\right) \left(4\right)$

$= 16 + 64$
=color(blue)(80