Question

Write an explicit formula for the sequence

Answer 1

Answer:

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

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

Thank you.