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Karo-lina-s [1.5K]
2 years ago
5

What is the common ratio of the geometic sequence whose second and forth terms are 6 and 54, respectively?

Mathematics
2 answers:
devlian [24]2 years ago
8 0

The answer would be C.

Luda [366]2 years ago
7 0

Answer:

C

Step-by-step explanation:

The n th term formula of a geometric sequence is

a_{n} = a r^{n-1}

where a is the first term and r the common ratio

Using the second and fourth term, then

ar = 6 → (1)

ar³ = 54 → (2)

Divide (2) by (1)

\frac{ar^3}{ar} = \frac{54}{6} = 9

r² = 9 ⇒ r = \sqrt{9} = 3 → C

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