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olganol [36]
3 years ago
9

Which sequence is modeled by the graph below?

Mathematics
2 answers:
djverab [1.8K]3 years ago
5 0

Answer:

an=27(one third) - 1

thanks

Alika [10]3 years ago
4 0
<h2>Answer:</h2>

The correct answer is:

                Option: B

   B.\ a_n=27(\dfrac{1}{3})^{n-1}

<h2>Step-by-step explanation:</h2>

We are given that the graph passes through (2,9) , (3,3) and (4,1)

Now, the function which models the graph is given by:

a_n=27(\dfrac{1}{3})^{n-1}

when n=2 we have:

a_2=27(\dfrac{1}{3})^{2-1}\\\\i.e.\\\\a_2=27(\dfrac{1}{3})^1\\\\i.e.\\\\a_2=9

when n=3 we have:

a_3=27(\dfrac{1}{3})^{3-1}\\\\i.e.\\\\a_3=27(\dfrac{1}{3})^2\\\\i.e.\\\\a_3=3

when n=4 we have:

a_3=27(\dfrac{1}{3})^{4-1}\\\\i.e.\\\\a_3=27(\dfrac{1}{3})^3\\\\i.e.\\\\a_4=1

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