SOLUTION: 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

Algebra ->  Sequences-and-series -> SOLUTION: 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      Log On


   



Question 754352: 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

Answer by reviewermath(1029) About Me  (Show Source):
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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%5B1%5D and common ratio r is a%5B1%5D%2F%281+-+r%29 provided |r| < 1.
1 + 0.1 + 0.01 + ... = 1%2F%281+-+0.1%29 = highlight%2810%2F9%29 or highlight%281.11%29 ( 2 decimal places)