Natalia is writing a recursive formula to represent the sequence. 8, 12, 18, 27, ... What value should she use as the common ratio in the formula? Write the answer as a decimal rounded to the tenths place.

Question

Mathematics

Hickman

26 January, 16:59

Natalia is writing a recursive formula to represent the sequence. 8, 12, 18, 27, ... What value should she use as the common ratio in the formula? Write the answer as a decimal rounded to the tenths place.

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Answers (2)

Know the Answer?

Payton Love · Answer 1

The answer to your equation would be 1.5. Don't expect me to explain it only because I did this question the other day and forgot how to solve it, but still have it written down. Your welcome.

Kadence Rivera · Answer 2

A = 8, a2 = 12, a3 = 18, a4 = 27, ...

12 = r · 8 ⇒ r = 12 : 8 = 1.5

r = 1.5. We can justify it:

18 = 8 · 1.5² = 8 · 2.25 (true)

27 = 8 · 1.5³ = 8 · 3.375 (true)