stevenq300 stevenq300
  • 21-07-2022
  • Mathematics
contestada

What is S10 of the geometric sequence? Round to the nearest whole number.

8, 20, 50, 125, …

15,263
50,857
317,886

Respuesta :

vintechnology vintechnology
  • 22-07-2022

The sum of the ten terms to the nearest whole number is 50857.

How to find the sum of a geometric sequence?

Using geometric sequence formula,

nth term = arⁿ⁻¹

where

  • a = first term
  • r = common ratio
  • n = number of terms

r = 20 / 8 = 5 / 2

a = 8

Hence,

s₁₀ = a(rⁿ - 1) / r - 1

s₁₀ = 8((5 / 2)¹⁰ - 1) / 5 / 2 - 1

s₁₀ = 8(9535.74316406) / 1.5

s₁₀ = 50857.296875

s₁₀ = 50857

learn more on geometric sequence here:https://brainly.com/question/24707075

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