Please help! Thanks!

Question

What is the 8th term in the sequence 3, 2, 0, -4, -12 ......?

a. -124

b.-60

c. -36

d. -144

Answer 1

3, 2, 0, -4, -12, -28, -60, - 124, -242,

8th term is -124

2 is 1 less than 3

0 is 2 less than 2

-4 is 4 less than 2

-12 is 8 less than -4

-28 is 16 less than -12

-60 is 32 less than -28

-124 is 64 less than -60

Answer 2

What pattern do we have here?

We subtracted 1 first : from 3, we obtained 2.

We subtracted 2 next: from 2, we obtained 0.

So, at each step, we double the amount that was subtracted.

3, 2, 0, -4, -12

The next term is: -12 - 16 = -28

The next term is: -28-32 = - 60

The eighth term is: -60- 64 = -124