Question

Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.

Answer 1

Next two numbers -80, -160
In this geometric sequence r=2

Answer 2

Answer:

$-80$ and $-160$.

Step-by-step explanation:

We have been given a sequence $-5,-10,-20,-40,...$. We are asked to find next two terms of our given sequence.

We can see that each next term of the sequence is two times the previous term of he sequence.

$-5\times 2=-10$

$-10\times 2=-20$

$-20\times 2=-40$

To find the next term of our given sequence, we will multiply $-40$ by 2 as:

$-40\times 2=-80$

To find the next term of our given sequence, we will multiply $-80$ by 2 as:

$-80\times 2=-160$

Therefore, the next two terms of our given sequence are $-80$ and $-160$.