Question

What is the common difference in the following arithmetic sequence? n an 1 –12 2 –1 3 10 4 21 –11 –1 1 11

Answer 1

D.............................

Answer 2

11 is the common difference of the given sequence.

Explanation:

Here the given sequence is

Terms 1 2 3 4

Sequence -12 -1 10 21

Now we know the arithmetic sequence is -12, -1, 10, 21.........n terms

common difference of an arithmetic sequence is represented as difference of nth term and (n-1)th term.

Therefore common difference d = -1 - (-12) = -1 +12 = 11

common difference 11 is the right answer.