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Solution - Geometric Sequences

The common ratio is: r=0.031209150326797386
r=0.031209150326797386
The sum of this series is: s=6310
s=6310
The general form of this series is: an=61200.031209150326797386n1
a_n=6120*0.031209150326797386^(n-1)
The nth term of this series is: 6120,191,5.960947712418301,0.18603611324704172,0.005806029024540028,0.00018120123262861855,5.655136508507539E06,1.764920054125719E07,5.508165528398893E09,1.7190516600068443E10
6120,191,5.960947712418301,0.18603611324704172,0.005806029024540028,0.00018120123262861855,5.655136508507539E-06,1.764920054125719E-07,5.508165528398893E-09,1.7190516600068443E-10

Step-by-step explanation

Why learn this

Geometric sequences are commonly used to explain concepts in mathematics, physics, engineering, biology, economics, computer science, finance, and more, making them a very useful tool to have in our toolkits. One of the most common applications of geometric sequences, for example, is calculating earned or unpaid compound interest, an activity most commonly associated with finance that could mean earning or losing a lot of money! Other applications include, but are certainly not limited to, calculating probability, measuring radioactivity over time, and designing buildings.

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