### 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 Problems (19)

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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.

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.

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.

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