SOLUTION: find the sum of the geometric series. 8+4+2+1+... find the next part of the pattern. ao,cn,em,gl,_

Algebra ->  Sequences-and-series -> SOLUTION: find the sum of the geometric series. 8+4+2+1+... find the next part of the pattern. ao,cn,em,gl,_      Log On


   

Question 840177: find the sum of the geometric series.
8+4+2+1+...
find the next part of the pattern.
ao,cn,em,gl,_
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
find the sum of the geometric series.
8+4+2+1+... |Note r = 1/2
sum%28+a%5Bi%5D%2C+i=1%2C+infinity+%29 = a%5B1%5D%2F%281-r%29=+8%2F%281%2F2%29+=+16
find the next part of the pattern.
a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29
a%5B5%5D+=+8%2A%281%2F2%29%5E%284%29=+8%2F16
8+4+2+1+highlight%281%2F2%29+ ...