Write an explicit formula for the sequence

D) An = -5n +12; -58

Step-by-step explanation:

The given sequence An = {7, 2, -3, -8, -13}

First terms Ao = 7

It is an arithmetic sequence.

D = 2 - 7

D = -5

Explicit formula An = A0 + (n - 1) d

= 7 + (n-1)(-5)

= 7 -5n + 5

An = -5n + 12

Now let's find A14

A14 = -5(14) + 12

= -70 +12

= -58

D) An = -5n +12; -58

Thank you.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9