lesson 1 Flashcards
ordered set of numbers formed according to some pattern or rule.
- functions whose domain is the set of positive integers or the set {1, 2,3, …, n}.
Sequence
what you get when you add up all the terms of a sequence
Series
what you get when you add up all the terms of a sequence; and theresulting value, are called the
sum or the summation
sum of the terms of a sequence and is denoted by
Sn
sum of the terms of a sequence and is denoted by Sn where n presents the
number of terms.
Set of elements that follow a
pattern
Order of elements is important
Sequence
Sum of elements of the sequence
* Order of elements is notimportant
Series
is the sum of the first n terms of a sequence. It is also referred to as the nth partial sum of a sequence.
Finite series
is the sum of all the terms of an infinite sequence.
An infinite series
each term after the first is obtained by adding a constant (called thecommon difference) to the preceding term.
Arithmetic sequence
an arithmetic series is the sum of an arithmetic sequence.
Arithmetic Series
sequence in which each term after the first is obtained by multiplyingthe preceding term by a constant (called the common ratio).
Geometric Sequence
results from adding the terms of a geometric sequence
Geometric Series
Sequence of real numbers which is determined by taking thereciprocals of the arithmetic progression that does not contain 0.
Harminic Sequence
This is a number sequence whose terms are equal to the sum of thetwo previous terms
Fibonacci sequence
Technique that brings faraway terms(like the nth term) close to the first term,just like a telescope.
TELESCOPING SUM PROPERTY
The summations must begin with_______ in order to use the given formulas
i = 1
A circle where the center is found at the origin of the rectangular coordinate system and the radius is equal to 1 unit.
Unit circle
Similarly, if the point terminates atthe point where it started, then thelength of the arc is
2pi units or 360
An angle is said to be in ___________when it is drawn in the
rectangular coordinate system with its
vertex at the origin and its initial side
coincides with the positive x-axis.
standard
position
The _____ of an angle is the ray
where the measurement of an angle
starts.
initial side
The _______ of an angle is the ray
where the measurement of an angle
ends.
terminal side
Two angles in the standard position that have the same terminal side are called
coterminal angles
are functions
whose domain and range
correspond to the measures of
angles with respect to the
trigonometric functions.
Circular functions
Commonly known as trigonometric functionsbecause the radian measures of the angles arecalculated by the length and coordinates of theterminal point of the arc on the unit circle.
Circular function
acute angle formed by the
terminal side of a given
angle in the standard
position and the x-axis.
REFERENCE
ANGLE
The reference angle is always made
__________ whichever quadrant and what
direction (counterclockwise and
clockwise) is the given angle.
positive
CONDITIONAL EQUATION
Statement that is true on condition that the variable is replaced with the correct value.