Question

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

Answer 1

5/8

Explanation:

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Answer 2

r = 25/64

Explanation:

Given GP:

• 768, 300, 187.5

Common ratio is the ratio of the next term to the previous term:

• r = 300/768 =

Prime factors of both numerator and denominator added:

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

Same factors cancelled:

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