Question

Classify the sequence (an) =(1,16,31,46,...) as arithmetic, geometric, or neither. If there is not enough information to classify the sequence, choose not enough information.

Answer 1

arithmetic

Explanation:

It is arithmetic because the terms go up by 15 . That is the common difference is 15.

Answer 2

it is an arithmetic sequence

Explanation:

general formula of arithmetic progression is

an=a1+(n-1)d

we are given

a1=1

a2=16

we can find d

d=a2-a1=16-1=15

d=a3-a2=31-16=15

d=a4-a3=46-31=15

as we can see that there is a common difference d =15 between successive terms of the this sequence

hence it is a arithmetic sequence