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term number,
value of term,
0
4
1
7
2
10
3
13
• A graph. The graph of a sequence is a set of points, because the sequence is only de ned when is an integer. For an arithmetic sequence, these points lie on a line:
• A recursive de nition. The recursive de nition for this sequence is
for . This recursive de nition tells you how to nd any
term if you know the previous term. It is not as helpful in determining far-away terms like . Some sequences do not have recursive de nitions, but geometric and arithmetic sequences always do.
Unit 1
Lesson 6: Representing Sequences 67
