KSearles001 KSearles001
  • 26-07-2017
  • Mathematics
contestada

what is the sum of the geometric sequence -3, 18, -108,... if there are 7 terms?

Respuesta :

CastleRook
CastleRook CastleRook
  • 01-08-2017
The sum of the geometric series when the common ratio is less than 1 will be given by:
Sn=a(1-r^n)/(1-r)
from our sequence;
a=-3
r=-108/18=-6
n=7
thus the sum of the 7 terms will be:
S7=-3(1-(-6)^7)/(1-(-6))
S7=-3(1+279936)/(1+6)
S7=-3(279937)/7
S7=-119,973
the answer is -119,973

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