Question

Is the sequence arithmetic? If so, identify the common difference.

17, 22, 33, 46, ...
yes; 5
no
yes; -5
yes; 11

Answer 1

no

Explanation:

Subtract the previous number from the next

`a_(2) - a_(1) = \\a_(3) - a_(2) = \\a_(4) - a_(3) = \\...`

22 - 17 = 5

33 - 22 = 11

46 - 33 = 13

If there is no common difference, then the sequence is not arithmetic.

Answer 2

no

Explanation:

subtract 22 by 17

subtract 33 by 22

subtract 46 by 33

you get a different answer every time