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galben [10]
3 years ago
12

Which sequence is geometric

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0

If a, b, c, d is geometric sequence, then

\dfrac{b}{a}=\dfrac{c}{b}=\dfrac{d}{c}=const.

A. 5; 15; 25; 35

\dfrac{15}{5}=3;\ \dfrac{25}{15}=\dfrac{5}{3}-NOT

B. 5; 10; 20; 40

\dfrac{10}{5}=2;\ \dfrac{20}{10}=2;\ \dfrac{40}{20}=2-YES

C. 6; 12; 18; 24

\dfrac{12}{6}=2;\ \dfrac{18}{12}=\dfrac{3}{2}-NOT

D. 7; 14; 21; 28

\dfrac{14}{7}=2;\ \dfrac{21}{14}=\dfrac{3}{2}-NOT

Answer: The sequence B. 5; 10; 20; 40 is geometric.

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