Arithmetic Sequences - Concept

Concept Concept (1)

Throughout mathematics, we find function notation. Function notation is a way to write functions that is easy to read and understand. Functions have dependent and independent variables, and when we use function notation the independent variable is commonly x, and the dependent variable is F(x). In order to write a relation or equation using function notation, we first determine whether the relation is a function.

Sample Sample Problems (19)

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Arithmetic Sequences - Problem 1

Given 11, 7, 3...

Find a301.
Problem 1
How to find a specified term number in an arithmetic sequence when given the first terms of the sequence.
Arithmetic Sequences - Problem 2

Given a20 = 101 and a21 = 104,

find the general term, an.
Problem 2
How to find the general term of an arithmetic sequence when given two consecutive terms.
Arithmetic Sequences - Problem 3

Given a11 = 52, a19 = 92,

find a1001
Problem 3
How to find a specified term number in an arithmetic sequence when given two random terms.
Arithmetic Sequences - Problem 4

Find the number of terms:

7 , 13 , 19 ... 85
3 3 3 3
Problem 4
How to find the number of terms in an arithmetic sequence.
Arithmetic Sequences - Problem 5
Problem 5
Finding arithmetic means between two terms with variables.
Arithmetic Sequences - Problem 6
Problem 6
Using an arithmetic sequence to approximate the depreciated value of an item after time.
Arithmetic Sequences - Problem 7
Problem 7
Finding multiple arithmetic means between two given values in an arithmetic sequence.
Arithmetic Sequences - Problem 8
Problem 8
Using an arithmetic series to find how many seats are in an amphitheater.
Arithmetic Sequences - Problem 9
Problem 9
Using an arithmetic sequence to determine a salary that is on a fixed raise schedule.
Arithmetic Sequences - Problem 10
Problem 10
How to write the first four terms of an arithmetic sequence from a recursively defined formula.
Arithmetic Sequences - Problem 11
Problem 11
Graphical representation of an arithmetic sequence.
Arithmetic Sequences - Problem 12
Problem 12
Geometry applications of arithmetic sequences.
Arithmetic Sequences - Problem 13
Problem 13
How to determine whether a number pattern is an arithmetic sequence, and if so, how to find the difference d.
Arithmetic Sequences - Problem 14
Problem 14
Finding which term in an arithmetic sequence is a given value.
Arithmetic Sequences - Problem 15
Problem 15
Writing both explicit and recursive formulas for the same arithmetic number sequence.
Arithmetic Sequences - Problem 16
Problem 16
Writing the first four terms of an arithmetic sequence from an explicit formula.
Arithmetic Sequences - Problem 17
Problem 17
How to find the hundredth term in an arithmetic sequence using the explicit formula.
Arithmetic Sequences - Problem 18
Problem 18
Finding unknown terms in an arithmetic sequence from two known, non-consecutive terms.
Arithmetic Sequences - Problem 19
Problem 19
Finding the first term an common difference of an arithmetic sequence from two known terms.