January 2014
Intermediate to advanced
144 pages
4h 2m
English
Content preview from Mathematical Formulas for Industrial and Mechanical Engineering
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A sequence can develop in four ways
Divergent 1, 4, 9, 16, ... The terms keep growing
Convergent
4; 2; 1;
1
2
;
1
4
; ...
The terms converge on a single value, in this case
0.
Periodic 2, 0, 22, 0, 2, 0, 22, 0,
...
The sequence repeats itself after a set number of
terms.
Oscillating 2, 22, 22, 2, 22, ... The sequence oscillates between two values.
If you add the terms of a sequence together, you get a series:31 6 1 9 1 12.
5.21 Arithmetic Sequences and Series
Arithmetic sequence: Sequences of numbers that follow a pattern of adding a fixed
number from one term to the next are called arithmetic sequences. A seque nce with
general term a
n11
5 a
n
1 d is called an arithm ...
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