Question 754352
Question:
Evaluate the infinite geometric series. Round to the nearest hundreth if necessary.
1+0.1+0.01+.............
A.0.33
B.1.11
C.1.2
D.2
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Answer:
The sum of an infinite geometric series with first term {{{a[1]}}} and common ratio r is {{{a[1]/(1 - r)}}} provided |r| < 1. 
1 + 0.1 + 0.01 + ... = {{{1/(1 - 0.1)}}} = {{{highlight(10/9)}}} or {{{highlight(1.11)}}} ( 2 decimal places)