What sequence is modeled by the graph below? coordinate plane showing the points (2,1) (3,2) (4,4) (5,8) a an = 2(2)n − 1 b an = 2( one half )n − 1 c an = 4(−2)n − 1 d an = one half (2)n − 1

ANSWER

EXPLANATION

The corresponding ordered pairs from the graph are:

(2,1) (3,2) (4,4) (5,8)

The y-values are:

1,2,4,8

The first term term is the term before 1,this has to be.

The common ratio is

The nth term is given by

Let's substitute the values to get,

This simplifies to,

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