Question

PLEASE HELP!!

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

Answer 1

an = -7 + (n - 1) 3

Explanation:

Answer 2

The explicit formula for the given expression is
`a_n=-10+3n`.

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

`-4-(-7)=-4+7=3`

The explicit formula for an AP is

`a_n=a+(n-1)d`

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.

`a_n=-7+(n-1)3`

`a_n=-7+3n-3`

`a_n=-10+3n`

Therefore the explicit formula for the given expression is
`a_n=-10+3n`.