# How do you find the next three terms of the arithmetic sequence 3, 7, 11, 15,...?

Mar 11, 2017

$19 , 23 , 27$

#### Explanation:

$3 , 7 , 11 , 15. . .$

in an arithmetic/linear sequence, the difference between each number is constant.

$7 - 3 = 4$
$11 - 7 = 4$
etc.

constant difference = $4$
next three terms:
$15 + 4$
$\left(15 + 4\right) + 4$
(15+4)+4)+4

$15 + 4 = 19$
$19 + 4 = 23$
$23 + 4 = 27$

$\therefore$ next three terms:
$19 , 23 , 27$