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tia_tia [17]
3 years ago
5

Which sequence is modeled by the graph below?

Mathematics
1 answer:
Maru [420]3 years ago
3 0

We have

a2 = 4

a3 = 2

a4 = 1

 calculate the difference

a3 - a2 = -2

a4 - a3 = -1

 The differences are not equal---------- >the sequence is not arithmetic.

 Getting the ratio:

a3/a2 = 0.5

a4/a3 = 0.5

 The common ratio is 0.5. Using the general form for a geometric series:

an = a1 r^(n-1)

for n = 2---------------- > a2=4

4 = a1 (0.5)^(2-1)

a1 = 8

therefore

an = 8 (1/2)^(n-1)

the answer is an = 8 (1/2)^(n-1)

the answer is none of those indicated in the question

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Gala2k [10]

<u>Answer:</u>

The correct answer option is H. 4374.

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

We are given the following geometric sequence and we are to find its 8th term:

\frac{2}{9}, \frac{2}{3}, 2,...

Here a_1=\frac{2}{9} and common ratio (r) = \frac{\frac{2}{3} }{\frac{2}{9} } =3.

The formula we will use to find the 10th term is:

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,,,,,....,,,,,:;,,,,,:(
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start at -2 go over 2 and up 5

(-2, 5)

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