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Ksenya-84 [330]
3 years ago
10

Find the sum of the geometric sequence. 1/3 , 2/3 , 4/3 , 8/3 , 16/3

Mathematics
2 answers:
Mrrafil [7]3 years ago
7 0
I believe the answer is 31/3
Nonamiya [84]3 years ago
3 0
Sum  of n terms  =  a1 *  r^n - 1
                               ---------------
                                  r - 1

a1 = 1/3    and common ratio r = (2/3) / (1/3)  = 2

so sum of  5 terms  =  (1/3) * (2*5 - 1)  /  2-1  =  31/3


This is easily checked by just adding up the 5 terms 
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