SOLUTION: What is the value of the infinite series governed by {{{a[1] = 2/3}}} and {{{r = 1/3}}}? a. {{{2/9}}} b. {{{4/9}}} c. {{{2}}} d. {{{1}}}

Algebra ->  Trigonometry-basics -> SOLUTION: What is the value of the infinite series governed by {{{a[1] = 2/3}}} and {{{r = 1/3}}}? a. {{{2/9}}} b. {{{4/9}}} c. {{{2}}} d. {{{1}}}      Log On


   



Question 156185: What is the value of the infinite series governed
by a%5B1%5D+=+2%2F3 and r+=+1%2F3?
a. 2%2F9
b. 4%2F9
c. 2
d. 1

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
What is the value of the infinite series governed
by a%5B1%5D+=+2%2F3 and r+=+1%2F3?
a. 2%2F9
b. 4%2F9
c. 2
d. 1

The formula is 

S%5Binfinity%5D+=+a%5B1%5D%2F%281-r%29

S%5Binfinity%5D+=+%282%2F3%29%2F%281-1%2F3%29

S%5Binfinity%5D+=+%282%2F3%29%2F%282%2F3%29

S%5Binfinity%5D+=+%282%2F3%29%283%2F2%29

S%5Binfinity%5D+=+1, choice d.

Edwin