Week 2-Infinite Geometric Series

Infinite Geometric Series focuses on finding the sum of an infinite geometric series

The rules of this chapter is that

If…

r is r<-1 or r>1, it has no answer as the graph is diverging which means that the sum is getting bigger in positive and negative ways.

In other case,

r is -1<r<1, it has sum but the graph gets smaller.

For example…

8 + 2 + 0.5 + 0.125 + …

The common ratio is \frac {1}{4}

The formula used to find the answer is

S∞ = \frac {a}{(1-r)}

So, the answer would be 10.666666666… as S∞ = \frac{10}{1-(\frac{-2}{3})} =6

In this chapter, it is very important to identify the range of the “r” value.

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