What is the common difference in the following arithmetic sequence

Asked by admin @ 02/10/2021 in Mathematics viewed by 306 People

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

Answered by admin @ 02/10/2021

Answer:

Option (d) is correct.

The common difference in the following arithmetic sequence is 11.

Step-by-step 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.

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