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Monday, December 9, 2013

SP #6: Unit K Concept 10: Writing repeating decimal as a rational number using geometric sequence and series

 

  In this student problem you learn how to find the infinite sum of a repeating decimal using your knowledge of the geometric sequences and series.Therefore, you must first know that you can write a geometric sequence by breaking down the decimal portion. You must know that you find the common ratio of a geometric series by dividing a term by the one that precedes. After you have found the common ratio you must know how to write the geometric summation notation of infinite series and finally plug in the values of the infinite formula to get your infinite sum.
It is important to not forget the number before the decimal point (highlighted in yellow above). You must also include this "whole number" with whatever you got as the infinite sum of the sequence you created, so that you can have a complete right answer.