Math: 1st Quarter
geometric mean
indicated typical value of a set of numbers by using the product of their values; defined as the nth root of the power of n numbers
number sequence
list of numbers having a first number, second number, and third number and so on which are called terms of the sequence, or simply a sequence that involves numbers
repeating pattern
numbers are repeated all throughout expression
arithmetic mean
simply mean or average; sum of a collection of numbers divided by the sum of numbers in the collection
pythagoras
studied numbers of geometric arrangements of points
arithmetic series
sum of all the n-terms of an arithmetic sequence
geometric series
sum of n terms of a geometric sequence
harmonic sequence
the sequence of reciprocals of an arithmetic sequence
pattern rule
uses one or more mathematical operations to describe the relationship between consecutive numbers in the pattern
finite sequence
has a finite number of terms, meaning it has a fixed number of terms
infinite sequence
has an infinite number of terms, meaning it has an unlimited number of terms
Sn = n/2(a1+an)
formula of arithmetic series
an=a1*r^n-1
formula of geometric sequence
sn=a1(1-r^n)/1-r
formula of geometric series
h= 2ab/(a+b)
formula of harmonic mean
decreasing pattern
greatest to least
pythagoras of samos
greek mathematician who live during the 6th century bc and was the founder of the pythagorean brotherhood
common ratio
a fixed nonzero number multiplied to the terms (r)
increasing pattern
add something to the number to get next number ;least to greatest
arithmetic sequence
also known as arithmetic progression which is the sequence of numbers such that the difference between the consecutive terms is constant
geometric sequence
also known as geometric progression, a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed nonzero number
pattern in general
an arrangement of lines, shapes, colors, or numbers especially a design in which it is repeated at regular intervals over a surface
sequence
an ordered list of numbers which may be generated from shapes, patterns, or rules
pattern in mathematics
constitute a set of numbers or objects in which all the members are related with each other by specific rule
common difference
difference between consecutive terms (d)
term
each number in the sequence and identified by its position in the ordered list
fibonacci sequence
each number is the sum of the two numbers before it
x+y/2
formula of arithmetic mean
an = a1+(n-1)d
formula of arithmetic sequence