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In real life, if you push a swing or pendulum once and walk away, the object will eventually come to rest. To find the total distance it would travel until it comes to rest, we use a theoretical model a geometric series. The initial swing is your first term, and you'll need an "r" value, or percent that it swings back on each subsequent part of the path. As long as this "r" value is less than one, we can use the formula for an infinite geometric series to find the swing or pendulum's theoretical total distance traveled.
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Concept (1)
Sample Problems (14)
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Geometric Series
Problem 1 6,447 views1 + 1 + 3 + ... 6 2 2 Find S_{7} 
Geometric Series
Problem 2 5,342 viewsSum:
5 + 15 + 45 + ... 4 16 
Geometric Series
Problem 3 4,919 views_{7} ∑ 8(½)^{n} ^{i = 2} 
Geometric Series
Problem 4 152 views 
Geometric Series
Problem 5 119 views 
Geometric Series
Problem 6 118 views 
Geometric Series
Problem 7 112 views 
Geometric Series
Problem 8 99 views 
Geometric Series
Problem 9 105 views 
Geometric Series
Problem 10 107 views 
Geometric Series
Problem 11 117 views 
Geometric Series
Problem 12 93 views 
Geometric Series
Problem 13 108 views 
Geometric Series
Problem 14 119 views
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