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Paha777 [63]
3 years ago
11

Find the common ratio for the following geometric sequence. 0.75,1.5,3,6,...

Mathematics
1 answer:
Rasek [7]3 years ago
4 0

Answer:

<h2>2</h2>

Step-by-step explanation:

\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...\ ,\ a_n\ \text{is a geometric series, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=r=constant

\text{We have}\ 0.75,\ 1.5,\ 3,\ 6,\ ...\\\\\text{The common ratio}\ r:\\\\\dfrac{1.5}{0.75}=2\\\\\dfrac{3}{1.5}=2\\\\\dfrac{6}{3}=2\\\\\boxed{r=2}

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Step-by-step explanation:

Comment

The way the diagram looks when it is drawn is that you are going to need the sine function to solve for the side opposite which is CD.

Formula

Sin(A) = Sin(68 = opposite / hypotenuse     Substitute values.

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