Sequences & Series

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11 Terms

1
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Recursive Sequence

Must know the previous term to find the next term. With the example below, you’d plug the 1st term to find the 2nd, the 2nd term for the 3rd, and so on

<p>Must know the previous term to find the next term. With the example below, you’d plug the 1st term to find the 2nd, the 2nd term for the 3rd, and so on</p>
2
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Fibonacci Sequence

The 3rd term equals the sum of terms 1 and 2, the 4th term equals the sum of terms 2 and 4, and so on.

3
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Factorial pattern from 0

1,1,2,6,24,120,720,5040

4
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When simplifying factorials

Start at tje greatest part (top or bottom)

5
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Assume n=

6
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Summation Notation

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7
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Sum of a finite arithmetic series

Sum = n/2 (a1+an)

8
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geometric sequence

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9
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sum of a finite geometric sequence

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10
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Sum of Infinite geometric series

inifite geometric series only occur when it converges (goes to one number like 1/3). |r| must be less than 1.

<p>inifite geometric series only occur when it converges (goes to one number like 1/3). |r| must be less than 1. </p>
11
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r in infinite geometric series must be

less than 1 w/out sign