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Dovator [93]
3 years ago
7

What is the common ratio for the geometric sequence below written as a fraction 768, 300, 187.5

Mathematics
1 answer:
slega [8]3 years ago
6 0

Answer:

r = 25/64

Step-by-step explanation:

<u>Given GP:</u>

  • 768, 300, 187.5

<u>Common ratio is the ratio of the next term to the previous term:</u>

  • r = 300/768 =

<u>Prime factors of both numerator and denominator added:</u>

  • 2 × 2 × 3 × 5 × 5/2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3  =

<u>Same factors cancelled:</u>

  • 5 × 5/ 2 × 2 × 2 × 2 × 2 × 2 =
  • 25/64

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