Finding The Sum of an Infinite Geometric Series

This calculus video tutorial explains how to find the sum of an infinite geometric series by identifying the first term and the common ratio. The examples and practice problems are presented using sigma notation or summation notation.

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[patrickmayer]

1. In the a/(1-r) formula, a is just a sub 1.
2. The abs(r) < 1 is just a check to see if you can use the a/(1-r) formula.

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[DaiMoscv]

14:36 there is easier way, if SUM(n=m) then (ar^m)/1-r. So in our case our m = 1, a = 5, r = 8/25. If you follow the equation you'll get same answer as in the video 40/17 .

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[A_B_]

Pro tip about the (2^3n)*(5^1-2n).

When you get to the point where there is sigma of "5*(8/25)^n" you actually CAN use formulas. You can tranform it into "5*(8/25)*(8/25)^(n-1)", so that it fits formula with sigma starting from 1.

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