Question

Write the first five terms in the sequence defined by the explicit formula

Answer 1

Answer: A

-1,2,7,14,23

Answer 2

D) -2, -1, 2, 7, 14

Explanation:

Let's take the first five whole numbers.

0, 1, ,2, 3, 4

Now plug in n =1 in the explicit formula An = n^2 -2

When n = 0,

A0 = (0)^2 - 2 0 - 2= -2

When n = 1,

A1 = (1)^2 - 2 = 1 - 2 = -1

When n = 2,

A2 = (2)^2 - 2 = 4 - 2 = 2

When n = 3,

A3 = (3)^2 - 2 = 9 - 2 = 7

When n = 4,

A4 = (4)^2 - 2 = 16 - 2 = 14

Therefore, the first five terms are -2, -1, 2, 7, 14

Thank you.