Answered

which two geometric sequence in the following list have the same ratio?

A4.3, 17.2, 68.8, 275.2

b.5, 15, 45, 135, 405

c -5, -15,- 45, -135,- 405

D-4.8, -16.8, -58.8, -205.8, -720.3
E6.8, 23.8, 83.3, 291.55, 1,020.425

Verified Answer :

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The ratio of a geometric sequence:
\(r=\frac{a_2}{a_1}\)

\(a. \\ r=\frac{17.2}{4.3}=4 \\ \\ b. \\ r=\frac{15}{5}=3 \\ \\ c. \\ r=\frac{-15}{-5}=3 \\ \\ d. \\ r=\frac{-16.8}{-4.8}=3.5 \\ \\ e. \\ r=\frac{23.8}{6.8}=3.5\)

Sequences b. and c. and sequences d. and e. have the same ratio.

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