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igor_vitrenko [27]
3 years ago
10

Type your response in the box.

Mathematics
1 answer:
zysi [14]3 years ago
7 0

Step-by-step explanation:

<u>Pattern 1</u> :

Arithmetic Sequence

Common term = 4

<u>Pattern 2</u> :

Geometric Sequence

Common ratio = 2

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Answer:

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Step-by-step explanation:

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You have to solve the given expression for q:

2q^2-8=3q

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Replace them in the formula and solve:

\begin{gathered} q=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ q=\frac{-(-3)\pm\sqrt{(-3)^2-4*2*(-8)}}{2*2} \\ q=\frac{3\pm\sqrt{9+64}}{4} \\ q=\frac{3\pm\sqrt{73}}{4} \end{gathered}

Next, to determine each possible value of q, you have to solve the sum and difference separately:

Sum

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Difference

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The possible solutions for the given equation are q=2.9 and q=-1.4

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