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Tomtit [17]
2 years ago
11

PLEASE HELP!!! asap

Mathematics
1 answer:
cricket20 [7]2 years ago
7 0

Answer:

D. (2,-1,1)

Step-by-step explanation:

Use a Desmos calculator and put in each equation. Then add a slider for Z and where all three lines intersect are your coordinates.

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What is the 9th term of the following geometric sequence? 7/9,-7/3,7,-21,63 ??????
dmitriy555 [2]

Given:

The geometric sequence is:

\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...

To find:

The 9th term of the given geometric sequence.

Solution:

We have,

\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...

Here, the first term is:

a=\dfrac{7}{9}

The common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{\dfrac{-7}{3}}{\dfrac{7}{9}}

r=\dfrac{-7}{3}\times \dfrac{9}{7}

r=-3

The nth term of a geometric sequence is:

a_n=ar^{n-1}

Where, a is the first term and r is the common ratio.

Substitute a=\dfrac{7}{9},r=-3,n=9 to find the 9th term.

a_9=\dfrac{7}{9}(-3)^{9-1}

a_9=\dfrac{7}{9}(-3)^{8}

a_9=\dfrac{7}{9}(6561)

a_9=5103

Therefore, the 9th term of the given geometric sequence is 5103.

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3 years ago
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