Sequences and Series

Mind Map by L. Eastman, updated more than 1 year ago
 Created by L. Eastman over 4 years ago
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By: Laura Garcia Echeverri

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Sequences and Series
1 Arithmetic Sequence
1.1 Common Difference (d)
1.1.1 Can be found by subtracting two consecutive terms. Ex: U2-U1
1.2 Un=U1 + (n-1)d
1.2.1 U1 can be found when the common difference and any other term of the sequence is given by replacing and rearranging.
1.2.2 The common difference (d) can be found when U1 and any other term of the sequence is given by replacing and rearranging.
1.2.3 Look for given values in question!
1.3 Sigma (Σ)
1.3.1 Sum of...
1.3.2 Sigma Notation
1.3.3 Sn=n/2 (2U1 + (n-1)d)
1.3.3.1 Can be used to find d by replacing an rearranging.
1.3.3.2 Look for given values in question!
2 Geometric Sequence
2.1 Common Ratio (r)
2.1.1 Can be found by dividing two consecutive terms. ex: U2/U1
2.2 Pi (Π)
2.2.1 multiplication of...
2.2.2 Pi Notation
2.2.3 Infinite
2.2.3.1 S∞ = U1/ 1-r
2.2.3.1.1 IrI < 1
2.2.4 Finite
2.2.4.1 Sn= {U1[(r^n) - 1]}/r - 1
2.2.4.1.1 r≠1
2.3 Un= U1[r^(n-1)]
2.3.1 Look for given values in question! Rearrange to find missing values!
3 Commutative
4 Terms: U1,U2,U3...Un
5 Patterns
6 Sn=sum of n terms
7 State through formulas!
8 By: Laura Garcia Echeverri

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