1. Lesson 1-9 Algebra: Arithmetic Sequences

2. Arithmetic Sequences A Sequence is an ordered list of numbers.
Each number in a sequence is called a term. Each term in a sequence has a position.
Position 1 2 3 4 5 6 7
Term 9 14 19

3. In Arithmetic Sequence, each term is found by adding the same number to the previous term. This is the relationship between consecutive terms.
Examples (from textbook pg 60-61)
Instructions: Describe the relationship between the terms in each arithmetic sequence. Then write the next three (3) terms.
#2.) 4, 9, 14, 19, ___, ___, ___
#11) 33, 38, 43, 48, ___, ___, ___

4. Geometric Sequence
In Geometric Sequence, each term is found by multiplying the previous term by the same number.
5, 25, 125, 625, ____
Instructions: Write the next three terms in the geometric sequence
#23) 1, 4, 16, 64, ____, ____, ____

5. Instructions: Find the 100th number in the sequence
Instructions: Find the 100th number in the sequence. Make a table and find the equation or Nth term used
#27) 12, 24, 36, ________
Position Operation Term Value 1 12 2 24 3 36 4 48
100

6. Finding the Nth term…..
Position
Operation
Term Value 1 3 2 5 7 4 9 11 6 13 8
Instructions: Find the next three terms in the sequence and then find the expression or nth term.