Question

A sequence is shown in the graph.

Answer 1

Answer:   Choice C

Explanation:

Focus on the y coordinates. They are: 6, 3, 1.5, 0.75

Divide each by their previous term

• 3/6 = 0.5
• 1.5/3 = 0.5
• 0.75/1.5 = 0.5

We have a common ratio of r = 0.5

This proves we have a geometric sequence.

The starting term is a = 6

The nth term is $a_n = a(r)^{n-1} = 6(0.5)^{n-1}$ which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)