2-1 Arithmetic Sequences Definitions & Equations Writing & Solving Arithmetic Sequences Practice Problems

Definitions 2  Sequence  A list of numbers in a particular order  Term  Each number in the sequence  Arithmetic Sequence  A sequence in which each term can be found by adding a constant  Common Difference (d)  The constant by which the arithmetic sequence changes

n th Term of an Arithmetic Sequence  a n is the final term of the sequence  a 1 is the first term in the sequence  d is the common difference  n is the number of terms  Can be any positive integer 3

Finding a Particular Term  Using the table provided, find how much it would cost to rent a crane for 12 months 4 MonthsCost ($) 175, , , ,000

Write an Equation for the n th Term  Write an equation for the nth term of the sequence 8, 17, 26, 35… 5

Arithmetic Means  The terms between any two nonsuccessive terms of an arithmetic sequence 6

Finding Arithmetic Means  Find the four arithmetic means between 16 and 91. 7

Practice Problems 8

More Practice Problems 9