Maths-

General

Easy

Question

# Write recursive formula and explicit formula. 12,19,26,33,40,...

Hint:

- Recursive Formula is a formula that defines the each term of sequence using the previous/preceding terms.

## The correct answer is: a_n=7n+5.

### Explanation:

- We have given a sequence 12,19,26,33,40,....
- We have to find the recursive and explicit formula of the given sequence.

Step 1 of 2:

We have given a sequence 12,19,26,33,40,....

The given sequence is an AP.

We know that the recursive formula for any AP is , where d is common difference.

Here the common difference is 7

So, The recursive formula is

Step 2 of 2:

The given sequence is an AP.

So, The explicit formula will be

.

Step 2 of 2:

The given sequence is an AP.

So, The explicit formula will be

.

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