Question

Three arithmetic sequences are given below.

sequence A: 5, 7, 9, 11, ...
sequence B: 34, 43, 52, 61, ...
sequence C: -9, -4, 1, 6, ...

Which of the following lists the sequences in order from least common difference to greatest common difference?

A, B, C

A, C, B

C, A, B

B, C, A

Answer 1

The answer is 2.) A, C, B

Explanation:

I took the test and got it right.

Answer 2

Sequence A. Common difference:
7-5=9-7=11-9=2

Sequence B. Common difference:
43-34=52-43=61-52=9

Sequence C. Common difference:
-4-(-9)=1-(-4)=6-1
-4+9=1+4=5
5=5=5

From least common difference to greatest common difference:
2, 5, 9
A, C, B

Answer: Second option A, C, B