Question

Which of the following shows an example of an arithmetic sequence?

5, 15, 45, 135, 405
-5, 0, 0, 0, 0
Olololo
-10, -19, -28, -37,-46
0,1,1,2,2
Determine the common difference:

Answer 1

C) -10, -19, -28, -37, -46

Common difference: -9

Explanation:

A) 5, 15, 45, 135, 405 is an example of a geometric sequence because each subsequent term is being multiplied by 3, which is the common ratio.

B) -5, 0, 0, 0, 0 is an example of a geometric sequence with a common ratio of 0 because each subsequent term is being multiplied by 0.

C) -10, -19, -28, -37, -46 is an example of an arithmetic sequence because each subsequent term is subtracted by 9, which is the common difference.

D) 0, 1, 1, 2, 2 is neither a geometric nor arithmetic sequence because the sequence shows no pattern that follows that of the two possible sequences.