kingcantu
kingcantu kingcantu
  • 25-04-2019
  • Mathematics
contestada

Find the sum of the geometric sequence series 20-10+5-5/2

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FreeLightskintrey11
FreeLightskintrey11 FreeLightskintrey11
  • 25-04-2019

Answer:

= 12.5

Step-by-step explanation:

This is equivalent to  

20*(1 - 1/2 + 1/4 - 1/8 + ...)  

= 20*[(1 + 1/4 + 1/16 + ...) - (1/2)(1 + 1/4 + 1/18 + ...)]  

= 10*(1 + 1/4 + 1/16 + ...)  

= 10 * (4/3) = 40/3 or 13.333...

To check for a gross error, notice that 20 - 10 + 5 - 5/2 = 12.5, so we are certainly in the correct general range (suggesting that my answer is in fact correct).

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