Question

Use the sequence 3, -6, 12, -24, … to answer the questions below
a. Explain, using complete sentences whether this sequence is arithmetic or
geometric and why.

Answer 1

I think its geometric but why?

Answer 2

An arithmetic sequence is additive. Geometric is multiplicative.

Answer 3

So yes, geometric because it is multiplicative.

Answer 4

Yep, you're multiplying by -2 each time.

Answer 5

Arithmetic = Adding the same amount to get each term
Geometric = Multiplying the same amount to get each term

Answer 6

Yea, and we know that because if you take one number and divide it by the preceding number, it gives you -2.

i.e. 12/-6 = -2

Answer 7

Thanks, What are the next three terms of the sequence?

Answer 8

Multiply by -2. :)

Answer 9

Multiply the next few numbers (-24 and the ones after that).

24 * -2 = ?

and do that two more times with the next numbers.

Answer 10

48, -96, 192 ?

Answer 11

Yep. ^_^