# How do you write the first five terms of the arithmetic sequence given #a_8=26, a_12=42#?

##### 1 Answer

Aug 8, 2018

#### Explanation:

The general term of an arithmetic sequence is given by the formula:

#a_n = a + d(n-1)#

where

Given

#16 = 42-26#

#color(white)(16) = a_12 - a_8#

#color(white)(16) = (a+11d) - (a+7d)#

#color(white)(16) = 4d#

Hence

Then:

#26 = a_8 = a+7d = a+28#

Hence

So the first five terms of the sequence are:

#-2, 2, 6, 10, 14#