Math 10

• 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