math formulas

1. Classify Different Series
Presented by: Claire Gui

2. Classify different forms of series
Arithmetic
series
Geometric
series

3. Arithmetic series
 d→differnece
 2nd-1st
 a sequence of numbers that the difference between the
consecutive terms is constant

4. Example
 3 5 7 9 11 ...
d=5-3=7-5=9-7=11-9=2 arithmetic series√
 1 2 4 7 11
2-1≠4-2≠7-4≠11-7 arithmetic series×

5. Rule for an arithmetic sequence
 100 90 80 70 60 50...
 50=100+(5-1)*(—10)
11010a  nn

6. Geometric series
 r→ratio
 2nd/1st
 a series with a constant ratio between successive terms

7. Example
 1 2 4 8 16...
r=2/1=4/2=8/4=16/8=2 geometric series√
 1 5 15 60
5/1≠15/5≠60/15 geometric series×

8. Rule for geometric series
 1 3 9 27
1-4
3127 
1
3a 
 n
n