Question

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

Answer 1

Answer:

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

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

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

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 $a_n=-10+3n$.