ArithmeticandGeometricSeries
Let d be the common difference of an arithmetic sequence
a 1 , a2 , a 3 , , a n
an = a1 + (n 1)d
n
Sn a1 an
2
The nth term of the sequence is:
The sum of the first n terms is:
Let r be the common ratio of a geometric sequence

Exponentialfunctions
f ( x) b x
Example:
Supposeyoureceivedapennyonthefirstdayof
January,twopenniesontheseconddayofJanuary,
fourpenniesonthethirdday,eightpenniesonthe
fourthdayandsoon.Howmuchwouldyoureceive
onJanuary31ifthispatterncontinues?
el-1
Examples

Function
A function is a correspondence between a first set,
called the domain, and a second set, called the range,
such that each member of the domain corresponds to
exactly one member of the range.
The inputs (members of the domain) are values of x
subs

PermutationsandCombinations
Consider the set cfw_ d , e , f . How many two-letter
words can be formed from the members of this set?
We are counting the number of permutations of 3
objects taken 2 at a time. There are six of them:
de, df, ef, ed, fd, fe
Co

CoordinatePlane
x-axis and y-axis
(xcoordinate,ycoordinate)
cg-1
DistanceBetweenTwoPoints
The distance between the points A(x1, y1) and B(x2, y2) is:
d ( A, B )
x2 x1 2 y2 y1 2
cg-2
1
MidpointofaLineSegment
The midpoint can be found by averaging the x-co