Question

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

–5, –10, –20, –40, . . .

multiply the previous term by 2; –80, –160

subtract 5 from the previous term; –80, –160

multiply the previous term by –2; 80, –160

add –5 to the previous term; –35, –30

Answer 1

The answer is multiply the previous term by 2. The next terms would be - 80 and - 160. Hope it helps!

Answer 2

Correct option is:

multiply the previous term by 2; –80, –160

Explanation:

We are given a pattern:

–5, –10, –20, –40, . . .

- 10= -5×2

-20= -10×2

-40= -20×2

Hence, next term is obtained by multiplying the previous term by 2

Next term= -40×2= -80

Next term= -80×2= -160

Hence,

Pattern is: multiply the previous term by 2

Next two numbers in the pattern are: –80, –160