Maths-

General

Easy

Question

# Tell whether the given sequence is an arithmetic sequence. 1,15,29,43,57,....

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: ⇒14

### Explanation:

- We have given a sequence 1,15,29,43,57,...
- We have to find weather the given sequence is AP or not.

Step 1 of 1:

We have given sequence 1,15,29,43,57,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is constant

The given sequence is an arithmetic sequence.

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is constant

The given sequence is an arithmetic sequence.

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