lesson 1 Flashcards

(29 cards)

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

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.

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.

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
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
26
acute angle formed by the terminal side of a given angle in the standard position and the x-axis.
REFERENCE ANGLE
27
The reference angle is always made __________ whichever quadrant and what direction (counterclockwise and clockwise) is the given angle.
positive
28
CONDITIONAL EQUATION
Statement that is true on condition that the variable is replaced with the correct value.
29