Question

# Write recursive formula. -5,-8.5,-12,-15.5,-19,....

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: a_n=a_(n-1)-3.5.

### Explanation:

- We have given a sequence -5,-8.5,-12,-15.5,-19,....
- We have to find weather the given sequence is AP or not.

Step 1 of 1:

We have given a sequence -5,-8.5,-12,-15.5,-19,....

The given sequence is an AP

And we know the recursive formula of any AP is .

Where d is common difference.

Here the common difference is -3.5.

So, The recursive formula is

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