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A sequence is shown in the graph.

Assuming the pattern continues, what is the formula for the nth term?

A. an = 6(2n)
B. an = 2(6n − 1)
C. an = 6(0.5n − 1)
D. an = 6(0.5n + 1)

A Sequence Is Shown In The Graph Assuming The Pattern Continues What Is The Formula For The Nth Term A An 62n B An 26n 1 C An 605n 1 D An 605n 1 class=

Sagot :

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 [tex]a_n = a(r)^{n-1} = 6(0.5)^{n-1}[/tex] which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)

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