SOLUTION: Please help me solve this equation: Determine the sum for the following series: (a) 100+10+1+... (b) 27-9+3-1+...

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Question 350079: Please help me solve this equation: Determine the sum for the following series:
(a) 100+10+1+...
(b) 27-9+3-1+...

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
(a) 100+10+1+0.1+0.01+...=111.11111, repeating
1%2F9=0.11111 repeating.
Multiply both sides by 1000.
1000%2F9=111.1111
Sum=highlight%281000%2F9%29
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(b)27-9+3-1+...=