SOLUTION: Find the sum of the first four terms of the geometric sequence that starts with 3 and has r = 8. Find the sum of the following infinite geometric series, if it exists. 4 + 3 + 2.

Algebra ->  Sequences-and-series -> SOLUTION: Find the sum of the first four terms of the geometric sequence that starts with 3 and has r = 8. Find the sum of the following infinite geometric series, if it exists. 4 + 3 + 2.      Log On


   



Question 613268: Find the sum of the first four terms of the geometric sequence that starts with 3 and has r = 8.
Find the sum of the following infinite geometric series, if it exists.
4 + 3 + 2.25 + 1.6875 +…

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Find the sum of the first four terms of the geometric sequence that starts with 3 and has r = 8.
sum%28+a%5Bn%5D%2C+n=1%2C+4+%29+=+a%5B1%5D%28%281-8%5E4%29%2F%281-8%29%29 = 3(-4095/-7) = 1755
Find the sum of the following infinite geometric series, if it exists.
4 + 3 + 2.25 + 1.6875 +…
sum%28+4%283%2F4%29%5E%28n-1%29%2C+i=1%2C+infinity+%29 = a%5B1%5D%2F%281-r%29 = 4%2F%281%2F4%29 = 16