Question

Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.

x 1 2 3 4
f(x) 5 −5 −15 −25
Arithmetic, common difference = −10
Arithmetic, common difference = −1
Geometric, common ratio = −10
Geometric, common ratio = −1

Answer 1

A

Explanation:

Answer 2

The sequence is arithmetic with a common difference of -10

Explanation:

From the question, we want to determine if the sequence is arithmetic or geometric

From the question

f(1) = 5

f(2) = -5

f(3) = -15

Mathematically for the common difference;

f(3) - f(2) = f(2) - f(1)

Since;

-15-(-5) = -5-5

-10 = -10

Since the common difference here is same , then the sequence is arithmetic with a common difference of -10