Respuesta :

Kyleyeah

Answer:

The geometric sequence is decreasing by 0.5 * each term

common ratio = 0.5

an equation for this exact sequence would be

50(0.5)^x-1

Step-by-step explanation:

To find the common ratio for a geometric sequence we can divide the previous term value by the next term value

so 50 / 25 = 0.5

and to check we can divide

25 / 12.5 = 0.5

So our common ratio is 0.5

mhanifa

Step-by-step explanation:

Given sequence:

  • 50, 25, 12.5, ...

The first term is 50 and the common ratio is:

  • r = 12.5/25 = 25/50 = 1/2

The equation:

  • tₙ = t₁rⁿ⁻¹
  • tₙ = 50(1/2)ⁿ⁻¹

Find the 8th and 10th terms:

  • t₈ = 50(1/2)⁷ = 0.390625
  • t₁₀ = 50(1/2)⁹ = 0.09765625

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