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

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Answer 1 · 2017-03-11T16:57:29

$19, 23, 27$

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

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:
$15+4$
$(15+4)+4$
$(15+4)+4)+4$

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

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

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