tgibson0001000 tgibson0001000
  • 16-07-2019
  • Mathematics
contestada

The first two terms in a geometric series are 20, 22. To two decimal places, the sum of the first k terms of the series is 271.59. Find k.​

Respuesta :

riyadh65 riyadh65
  • 27-07-2019

Answer:

k=9

Step-by-step explanation:

First find r=22/20=1.1

The sum of the first k terms formula is a1•(1-r^k)/(1-r)

a1=20 and the sum is 271.59

Now plug in these values in the formula and find k.

271.59=20(1-1.1^k)/(1-1.1)

When you simplify this equation, you will get k=ln(2.358)/ln(1.1)

k=9

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