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

D ...

11 is the common difference of the given sequence.

Step-by-step 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.