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Key Concepts Sect 11.1
Sequence: A list of ordered numbers that have a pattern.
Terms: Each number in a sequence.
Recursive Formula: defines the terms in a sequence by relating
each term to the ones before it.
*Consider the sequence below:
6, 1, -4, -9
Guided Practice Sect 11.1
Ex 1: Describe the pattern. Then, find the next three terms
a) 2, 6, 18, 54, 162,....
b)
1, 4, 16, 25,...
c)
20, 17, 14, 11,...
Guided Practice for Sect. 11.1
Ex 2: Write a recursive formula for each sequence. Then, find
the next term.
a)
2, 4, 6, 8,...
b)
5, 10, 20, 40,...
c)
20, 15, 10, 5,...
d)
3, 9, 81, 6561,...
Key Concepts for Sect. 11.1
Explicit Formula: defines the terms in a sequence by using the n
term in terms of n.
*Consider the sequence below:
3, 7, 11, 15, 19
Guided Practice for Sect. 11.1
Ex 3: Write an explicit formula for each sequence. Then, find a15.
a)
5, 10, 15, 20,...
b)
1, 4, 9, 16, 25, 36,...
c)
2, 5, 8, 11,...