Question
Which sequence is an arithmetic sequence?
- 1,3,5,7,11,....
- 4,6,9,13,18,....
- 8,15,22,29,36,....
- 3,6,12,24,48,....
Hint:
- A sequence is said to be arithmetic if the common difference is always constant.
- The General formula of any AP is .
The correct answer is: 8,15,22,29,36,....
Explanation:
- We have given a sequence 1,3,5,7,11,....
- We have to find weather the given sequence is AP or not.
Step 1 of 1:
Option(A):
We have given a sequence 1,3,5,7,11,....
The common difference here is not constant, as 3 - 1 ≠ 11 - 7
So, This is not an AP.
Option(B):
We have given a sequence 4,6,9,13,18,....
The common difference here is not constant, as 6 - 4 ≠ 9 - 6
So, This is not an AP.
Step 2 of 2:
Option(c):
We have given a sequence 8,15,22,29,36,....
The common difference here is constant.
So, This is an AP.
Option(D):
We have given a sequence 3,6,12,24,48,....
The common difference here is not constant, as 6 - 3 ≠ 12 - 6
So, This is not an AP.
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