brynndelyn9580 brynndelyn9580
  • 17-12-2021
  • Mathematics
contestada

what is the sum of the first five terms of a geometric series with a1=10 and r=1/5

Respuesta :

coolstick
coolstick coolstick
  • 17-12-2021

Answer:

12.496

Step-by-step explanation:

In a geometric series, the next number is equal to the previous number times the rate. Here, the first number is 10 and the rate is 1/5. Therefore,

a1 = 10

a2 = 10 * 1/5 =2

a3 = a2 * 1/5 = 2/5

a4 = a3 * 1/5 = 2/25

a5 = a4 * 1/5 = 2/125

Add these terms up to get 12.496 as our final answer

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