# Sequences. Infinite Sequences Limits of Infinite Sequences Arithmetic and Geometric Sequences Sequences and Graphing Calculators … and why Infinite.

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Sequences

Infinite Sequences Limits of Infinite Sequences Arithmetic and Geometric Sequences Sequences and Graphing Calculators … and why Infinite sequences, especially those with finite limits, are involved in some key concepts of calculus.

Given the sequence −2, 1, 4, 7, … find (a) the common difference (b) the tenth term (c) a recursive rule for the nth term (d) an explicit rule for the nth term.

Given the sequence 2, 6, 18, … Find (a) the common ratio (b) the tenth term (c) a recursive rule for the nth term (d) an explicit rule for the nth term

One way to graph a explicitly defined sequences is as scatter plots of the points of the form (k,a k ). A second way is to use the sequence mode on a graphing calculator.

Create a scatter plot: Sequence mode:

Text pg739 (Pg746/747 old edition) Exercises # 2-24 even

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