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Mama L [17]
3 years ago
5

Find the common ratio. Write the answer in lowest terms. 8+12+18+27+...

Mathematics
1 answer:
kozerog [31]3 years ago
4 0

Answer:

r=\dfrac{3}{2}

Step-by-step explanation:

Consider the sequance

a_1=8\\ \\a_2=12\\ \\a_3=18\\ \\a_4=27\\ \\...

Note that

\dfrac{a_2}{a_1}=\dfrac{12}{8}=\dfrac{3}{2}\\ \\ \\\dfrac{a_3}{a_2}=\dfrac{18}{12}=\dfrac{3}{2}\\ \\ \\\dfrac{a_4}{a_3}=\dfrac{27}{18}=\dfrac{3}{2}\\ \\...

So, common ratio is

r=\dfrac{3}{2}=1\dfrac{1}{2}

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