Question

Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.

Answer 1

geometric

arithmetic

Explanation:

there are no statements to check. you did not copy them in.

but I can solve the first part of the question.

sequence 1 :

-10, 20, -40, 80, -160, 320, -640, ...

I extended the sequence by a few more terms.

but it is clear that each new term is the previous term multiplied by -2.

since the sequence is built by multiplication, it is geometric.

sequence 2:

15, -5, -25, -45, -65, -85, ...

so, it is clear that each new term is the previous term subtracted by -20.

since the sequence is built by adding or subtracting, it is arithmetic.