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

11 is the answer.

Explanation:

We have given a arithmetic sequence.

12,-1,10,21

We have given 4 terms of arithmetic sequence.

a₁=-12 , a₂ = -1 , a₃ = 10 and a₄ = 21

We have to find common difference in the sequence.

Common difference is defined as the difference between consecutive terms.

d = a₂-a₁

Putting values in above formula, we have

d = -1-(-12)

d = -1+12

d = 11

Hence, common difference in the given sequence is 11.

Answer 2

Option (d) is correct.

The common difference in the following arithmetic sequence is 11.

Explanation:

Given sequence,

n
`a_n`

1 -12

2 -1

3 10

4 21

We have to find the common difference of the given arithmetic sequence,

Common difference of an arithmetic sequence can be find by subtracting the term from the term preceding it.

`a_1=-12,\  a_2 =-1,\ a_3=10,\ a_4=21`

Finding difference between the terms,

`a_2-a_1=-1-(-12)=-1+12=11\\\\a_3-a_2=10-(-1)=10+1=11`

Thus, the common difference in the following arithmetic sequence is 11.

Hence, option (d) is correct.