Posted by purple1 on Saturday, March 20, 2010 at 8:14pm.
find the sum of each of the following infinite series, if no sum, write no sum.
93+11/3+1/9...
1/2+1+2+4...

math  Reiny, Saturday, March 20, 2010 at 8:40pm
S_{∞} = a/(1/r) where │r│ < 1
in the first,
a = 9, r = 1/3
so sum = 9/(1  (1/3)) = 6.75 or 27/4
For the second one, there is no sum, since the series diverges.
notice r = 2, so it does not satisfy the condition for the formula.

math  purple1, Saturday, March 20, 2010 at 8:44pm
Thank you.

typo  math  Reiny, Saturday, March 20, 2010 at 8:49pm
I just notice a typo in my formula, should of course be
a/(1r) where │r│ < 1
I did use it correctly in the calculations
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