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pav-90 [236]
3 years ago
13

Find the sum of the first 11 terms of the geometric sequence shown below. -3/2, 3, -6, 12...

Mathematics
1 answer:
Sav [38]3 years ago
6 0
a_1=-\frac{3}{2}
a_2=3

q=3:(-\frac{3}{2})=3*(-\frac{2}{3})=-2

S_{11}=-\frac{3}{2}*\frac{1-(-2)^{11}}{1+2}
S_{11}=-\frac{3}{2}*\frac{1-(-2048)}{3}
S_{11}=-\frac{3*2049}{2*3}
S_{11}=-\frac{2049}{2}
S_{11}=-1024\frac{1}{2}=-1024,5

___________________________
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