What is the next four terms in the arithmetic sequence: 12, 16, 20,...?

1 Answer
Nov 19, 2016

a_4=24

Explanation:

We know that in an arithmetic progression we have a_1=12, a_2=16, a_3=20 and we're looking for a_4. In a arithetic sequence the common difference is given by d=a_i-a_{i-1} for 'any working i.'

So: d=a_3-a_2=20-16=4 or as well d=a_2-a_1=16-12=4

Now simply a_4=a_3+d=20+4=24