Question

Examine the pattern below:

-2,4,-8,16__,___,__
Describe the pattern in words and write an expression for the pattern.

Answer 1

The pattern in the given sequence is that each term is obtained by multiplying the previous term by -2. The expression for the pattern is (-2)^(n-1).

Step-by-step explanation:

The pattern in the given sequence is that each term is obtained by multiplying the previous term by -2. Let's examine the pattern:

First term: -2

Second term: (-2) x (-2) = 4

Third term: 4 x (-2) = -8

Fourth term: -8 x (-2) = 16

So, the expression for the pattern is:

nth term = (-2)n-1