# Infinite Sequences and Calculus Concepts  This article explores the significance of infinite sequences, particularly those with finite limits, in key concepts of calculus. It discusses topics such as arithmetic and geometric sequences, limits of infinite sequences, and the

• Uploaded on | 1 Views
• shanecarr

## About Infinite Sequences and Calculus Concepts

PowerPoint presentation about 'Infinite Sequences and Calculus Concepts'. This presentation describes the topic on This article explores the significance of infinite sequences, particularly those with finite limits, in key concepts of calculus. It discusses topics such as arithmetic and geometric sequences, limits of infinite sequences, and the. The key topics included in this slideshow are . Download this presentation absolutely free.

## Presentation Transcript

Slide1Sequences

Slide3Infinite SequencesLimits 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.

Slide7Given the sequence   −2, 1, 4, 7, … find          (a) the common difference         (b) the tenth term         (c) a recursive rule for the   n th term         (d) an explicit rule for the  n th term.

Slide9Given the sequence 2, 6, 18, …Find           (a) the common ratio           (b) the tenth term           (c) a recursive rule for the   n th term             (d) an explicit rule for the  n th term

Slide10one way to graph a explicitly defined sequences is as scatterplots of the points of the form ( k , a k ). A second way is to use the sequence mode on a graphing calculator.

Slide11Create a scatter plot:Sequence mode:

Slide13Text pg739(Pg746/747 old edition)  Exercises # 2-24  even