what is the explicit formula for this sequence -7, -4, -1, 2, 5

The explicit formula for the given expression is .

Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

The explicit formula for an AP is

Where, a is first term, d is common difference and n is number of terms.

Substitute a=-7 and d=3 in the above equation.

Therefore the explicit formula for the given expression is .