+ # Sequences and Series Pathway

It is human nature to seek patterns in the world around us. Since mathematics relates to the world in the form of numbers, it is logical that we try to find patterns in numbers. In the Sequences and Series pathway you will learn what the Terms in Sequences represent and how to recognize patterns in a sequence or series. Because some patterns are quite complex, you will learn about different types of patterns such as Geometric Series and Sequences. This all culminates with you learning how to predict future events through the use of induction.

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### Concepts Covered

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• 1 Introduction to Sequences Try this one next!
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• 2 Terms in Sequences
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• 3 Introduction to Series
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• 4 Simple Number Series
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• 5 summation notation
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• 6 Expanding a Series
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• 8 Arithmetic Sequences
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• 10 Patterns of Difference
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• 11 Finding an Arithmetic Formula
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• 13 Finding the Sum Arithmetic
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• 14 Finding the Sum of a Range Arithmetic
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• 15 Fibonacci Numbers
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• 16 Arithmetic Sequences in the Real World
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• 17 Geometric Series and Sequences
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• 18 Finding a Geometric Formula
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• 19 Finding the Common Ratio
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• 21 Finding the Nth Term Geometric
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• 22 Finding the Sum Geometric
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• 23 Finding the Sum of a Range Geometric
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• 24 Geometric Sequences in the Real World
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• 25 Recursive Series and Sequences
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• 26 Finding the First N Terms
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• 27 Second Tier Pattern of Difference
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• 28 mathematical induction