Question

Which of the following sequences is an arithmetic sequence? Select all correct answers.

Select all that apply:

1,2,3,4,5,6,…
5,0,−5,−10,−5,0,…
−4,−6,−8,−10,−8,−6,…
3,0,−3,−6,−9,−12,…
6,5,4,3,2,1,…

Answer 1

1st, 4th and 5th are in arithmetic sequence.

Answer 2

a) 1,2,3,4,5,6............

d) 3,0, -3 ,-6,-9,-12.............

e) 6,5,4,3,2,1...........

are arithmetic sequence

Explanation:

Arithmetic sequence is series of numbers that the difference of consecutive terms is constant

a) 1, 2 , 3 , 4 , 5 , 6...........

Common difference = 1

d) 3,0, -3 ,-6,-9,-12.............

Common difference = second term - first term

= 0 - 3 = -3

e) 6,5,4,3,2,1...........

Common difference = 5 - 6 = - 1