Elementary Calculus: Example 1: Some Simple Sequences.

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Example 1: Some Simple Sequences.

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Example 1: Some Simple Sequences.

If the sequence is simple enough one can look at the first few terms and guess the general rule for computing the nth term. For instance:

The graph of a sequence will look like a collection of dots whose x-coordinates are spaced one apart. Some examples of graphs of sequences are shown in Figure 9.1.1.

1, 1, 1, 1, 1,...	a_n = 1
-1, 0, 1, 2, 3,...	a_n = n - 2.
-2, -4, -6, -8, -10,...	a_n = -2n
1, -1, 1, -1, 1....	a_n = (-1)^n-1

Figure 9.1.1

Example 1: Some Simple Sequences.

Last Update: 2006-11-15