Which sequence is modeled by the graph below? points are (1,3) (2,0.6) (3, 0.12) a an = 3 (one fifth )^n − 1 b an = 3(−5)^n − 1 c an = 0.3(5)^n − 1 d an = one fifth (3)^n − 1

ANSWER

Step-by-step explanation

The ordered points given to us are

The y-coordinates are the terms in the sequence.

We use the y-coordinates to determine the common ratio.



The first term of the sequence is the first y-coordinate.



The nth term of an exponential sequence is given by,



We now substitute the above values in to the general formula to obtain,

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