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Sequences and Series
A list of 4 common types of sequences: Arithmetic Sequences Geometric Sequences Harmonic Sequences Fibonacci Numbers
Edited at 2020-09-08 01:10:56- Pre-Scientific Psychology
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Sequences and Series
- Pre-Scientific Psychology
A simplified mind map about the psychology in pre-scientific stage. Pre-scientific psychology refers to the early philosophical and theoretical explorations of the human mind and behavior that laid the foundation for the development of modern psychology. You can easily create your own mind map like this this with EdrawMind.
- Wholesaling Lease Options Joe McCall
This is a mind map about "Wholesaling Lease Options Joe McCall".
- Thesis Map
This is a mind map about Thesis Map.
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Sequences and Series
Geometric
Geometric Sequence
A geometric sequence is a sequence where a common ratio is multiplied to each consecutive term.
Examples : 1, 2, 4, 8, 16 r = 2 1, 3, 9, 27, 81 r = 3 1, 5, 25, 125, 625 r = 5
Formula : An = A1r^n-1
Geometric Series
A geometric series is the sum of all the terms of a geometric sequence.
Examples : 1, 2, 4, 8, 16 S5 = 31 1, 3, 9, 27, 81 S5 = 121 1, 5, 25, 125, 625 S5 = 781
Formula : (Finite) Sn = A1 (1-r^n) (-------) ( 1-r ) or Sn = A1 (r^n-1) (-------) ( r-1 ) Formula : (Infinite) Sn = A1/r-1
Fibonacci Sequence
A fibonacci sequence is a sequence where the previous term is added to the next term.
Example : 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377
Harmonic Sequence
A harmonic sequence is a sequence where the reciprocals of the terms form an arithmetic sequence.
Examples : 1, 1/2, 1/3, 1/4, 1/5 1, 1/16, 1/33, 1/50, 1/67, 1/84 1, -1/3, -1/7, -1/11, -1/15
Arithmetic
Arithmetic Sequence
An arithmetic sequence is a sequence where a common difference is added to each consecutive term.
Examples : 1, 2, 3, 4, 5 d = 1 16, 33, 50, 67, 84 d = 17 1, -3, -7, -11, -15 d = -4
Formula : An = A1 + (n-1) d
Arithmetic Series
An arithmetic series is the sum of all the terms of an arithmetic sequence.
Examples : 1, 2, 3, 4, 5 S5 = 15 16, 33, 50, 67, 84 S5 = 250 1, -3, -7, -11, -15 S5 = -35
Formula : Sn = n/2 (A1+An)