# SOLUTION: how do you evaluate an infinite geometric series? ex: 1.1+0.11+0.011+..

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 Algebra: Sequences of numbers, series and how to sum them Solvers Lessons Answers archive Quiz In Depth

 Question 483711: how do you evaluate an infinite geometric series? ex: 1.1+0.11+0.011+..Answer by MathLover1(6625)   (Show Source): You can put this solution on YOUR website! In a geometric series, finite or infinite, the is the multiplier used to get each succeeding term. Or, you can think of it as any term divided by the previous one. For example, in the series you have 1.1+0.11+0.011+.............the common ratio is If an infinite geometric series has a ratio whose absolute value is less than , and so has a , the formula is where just stands for the sum of an infinite series, is the first term, and is the common ratio. in your case: