Describing Number Patterns

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Describing Number Patterns
ALGEBRA 1 LESSON 5-6
1. Use inductive reasoning to describe each
pattern. Then find the next two numbers in each
pattern. a. 1, 2.5, 4, ...    b.  , , ,
...
1 2
1 4
1 8
add 1.5 to the previous term 5.5, 7
2. Find the common difference of each arithmetic
sequence. a. 1, , , 0, ...    b. 46,
34, 22, 10, ...
2 3
1 3
1 3
12
3. Find the second, sixth, and ninth terms of the
sequence that has the rule A(n) 3 (n 1)(6).
3, 27, 45
4. Is 2, 3, 8, 10, ... an arithmetic sequence?
Explain.
No the difference between the first two terms is
5, but the difference between the fourth and
third terms is 2.
5-6