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Numbers, Sequences, Factors

Integers:
. . . , -3, -2, -1, 0, 1, 2, 3, . . .
Rationals:
fractions, that is, anything expres­sable as a ratio of integers
Reals:
integers plus rationals plus special numbers such as √2, √3 and 
Order Of Operat­ions:
PEMDAS (Paren­theses / Exponents / Multiply / Divide / Add / Subtract)
Arithmetic Sequences:
each term is equal to the previous term plus d Sequence: t1, t1 + d, t1 + 2d, . . . Example: d = 4 and t1 = 3 gives the sequence 3, 7, 11, 15, . . .
Geometric Sequences:
each term is equal to the previous term times r Sequence: t1, t1 · r, t1 · r2, . . . Example: r = 2 and t1 = 3 gives the sequence 3, 6, 12, 24, . . .
Factors:
the factors of a number divide into that number without a remainder
Multiples:
the multiples of a number are divisible by that number without a remainder
Percents:
use the following formula to find part, whole, or percent part = percent 100 × whole

Averages, Counting, Statis­tics, Probab­ility

average
average = sum of terms number of terms
average speed
total distan­ce/­total time
sum
Averag­e*n­umber of teerms
mode
value in the list that appears most often
median
middle value in the list (which must be sorted) Example: median of {3, 10, 9, 27, 50} = 10 Example: median of {3, 9, 10, 27} = (9 + 10)/2 = 9.5
Fundam­ental Counting Principle:
If an event can happen in N ways, and another, indepe­ndent event can happen in M ways, then both events together can happen in N ×M ways.
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