lesson 1 Flashcards

1
Q

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}.

A

Sequence

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2
Q

what you get when you add up all the terms of a sequence

A

Series

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3
Q

what you get when you add up all the terms of a sequence; and theresulting value, are called the

A

sum or the summation

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4
Q

sum of the terms of a sequence and is denoted by

A

Sn

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5
Q

sum of the terms of a sequence and is denoted by Sn where n presents the

A

number of terms.

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6
Q

Set of elements that follow a
pattern
Order of elements is important

A

Sequence

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7
Q

Sum of elements of the sequence
* Order of elements is notimportant

A

Series

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8
Q

is the sum of the first n terms of a sequence. It is also referred to as the nth partial sum of a sequence.

A

Finite series

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9
Q

is the sum of all the terms of an infinite sequence.

A

An infinite series

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10
Q

each term after the first is obtained by adding a constant (called thecommon difference) to the preceding term.

A

Arithmetic sequence

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11
Q

an arithmetic series is the sum of an arithmetic sequence.

A

Arithmetic Series

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12
Q

sequence in which each term after the first is obtained by multiplyingthe preceding term by a constant (called the common ratio).

A

Geometric Sequence

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13
Q

results from adding the terms of a geometric sequence

A

Geometric Series

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14
Q

Sequence of real numbers which is determined by taking thereciprocals of the arithmetic progression that does not contain 0.

A

Harminic Sequence

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15
Q

This is a number sequence whose terms are equal to the sum of thetwo previous terms

A

Fibonacci sequence

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16
Q

Technique that brings faraway terms(like the nth term) close to the first term,just like a telescope.

A

TELESCOPING SUM PROPERTY

17
Q

The summations must begin with_______ in order to use the given formulas

A

i = 1

18
Q

A circle where the center is found at the origin of the rectangular coordinate system and the radius is equal to 1 unit.

A

Unit circle

19
Q

Similarly, if the point terminates atthe point where it started, then thelength of the arc is

A

2pi units or 360

20
Q

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.

A

standard
position

21
Q

The _____ of an angle is the ray
where the measurement of an angle
starts.

A

initial side

22
Q

The _______ of an angle is the ray
where the measurement of an angle
ends.

A

terminal side

23
Q

Two angles in the standard position that have the same terminal side are called

A

coterminal angles

24
Q

are functions
whose domain and range
correspond to the measures of
angles with respect to the
trigonometric functions.

A

Circular functions

25
Q

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.

A

Circular function

26
Q

acute angle formed by the
terminal side of a given
angle in the standard
position and the x-axis.

A

REFERENCE
ANGLE

27
Q

The reference angle is always made
__________ whichever quadrant and what
direction (counterclockwise and
clockwise) is the given angle.

A

positive

28
Q

CONDITIONAL EQUATION

A

Statement that is true on condition that the variable is replaced with the correct value.

29
Q
A