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Math 10
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Arithmetic Series
Sum
of a
specified number
of
terms
in an
Arithmetic Sequence
Denotes the sum of a specified number of terms
in an
Arithmetic Sequence
Sn
Arithmetic Formula
of
Arithmetic Series
when
last term
is given
Sn
=
n/2(A1+An)
Arithmetic Series
formula when the
common difference
is given
Sn
=
n/2[2A1+(n+1)d]
Arithmetic
Sequence
a sequence in which each term after the first is obtained by adding a
fix
number to the
previous
term
Arithmetic Sequence Formula
An=A1+(n-1)d
Arithmetic Mean
are terms between any two non
consecutive
terms of an
arithmetic sequence
Arithmetic Means Formula
An=A1+(n-1)d
Geometric Series
Sum of a specified number of terms in a
Geometric
Sequence
Geometric
Series Formula when the
number of terms
is given
Sn
=
A1(1-r^n)/1-r
Geometric Series
Formula when the
last term
is given
Sn
=
A1-RAn/1-r
Infinite Geometric
Series Formula
Sn
=
A1/1-r
Geometric Sequence
A sequence of
non-zero
numbers where each term after the first is found by multiplying a fixed non-zero number called the
common ratio
Geometric Sequence Formula
An
=
A1R^n-1
Geometric
Mean
A special type of average where we multiply the
numbers
together and use
square root
for double numbers or cube root for triple numbers and so on
Remainder Theorem
any equation with a remainder
greater
than
0
Factor theorem
any equation that will conclude to
zero
Circle
a collection of points in a plane that are
equidistant
from a
fixed
point
Radius
a
line
segment from the center to the
circle
Tangent
a line that intersects the circle at only
one
point
Secant
a
line
that intersects the circle at
two
points
Chord
a
line
segment that connects any
two
points on the circle
Diameter
a
chord
that touches the
center
Sector
a region bounded by
two radii
and the
arc
Segment
a region bounded by a
chord
and the
arc
Tangent Circles
are two circles that are
touching at any single point
Concentric Circles
two or more circles that have the
same
center
Congruent Circles
two or more circles that have the same
radii measurements
Central Angle
an angle whose vertex is the
center
and whose sides are
radii
Inscribed Angle
an angle whose vertex is a part of the
circle
and whose sides are
chords
Arc
are the
two
points in the circle and the
unbroken
part between
Equation for Circle
(x-h)^2+(y-k)^2=r^2
(x-h)^2+(y-k)^2=r^2
center
=(
h
,
k
)
r=
fixed
distance,
radius
Permutation
the
arrangement
or
ordering
of a set of objects
Permutation
of Objects
n!
Permutation of subsets
n!/(n-r)
!
Permutation
of Identical Objects
n!/n1!n2!n3!...
Circle Permutation
(
n-1
)
!
Permutation if repetition is allowed
n^r
Combination
process of choosing a number of objects from a given group of objects
without
considering the
order
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