Graphing and Analyzing Sequences

This tutorial guides users on how to graph sequences using the TI-89 graphing calculator. It covers changing the calculator mode to sequence mode, entering formulas for sequences, adjusting graph settings, and graphing different sequences. The tutorial provides step-by-step instructions for graphing three sequences: a sub n, b sub n, and c sub n, highlighting how to adjust the window settings for optimal viewing.

What is the first step to graph a sequence on the TI-89 calculator?

• Enter the sequence formula

• Adjust the graphing window

• Press the diamond key

• Change the mode to sequence mode

How do you enter the formula for a sequence on the TI-89?

• Press diamond F2

• Press diamond F1

• Press the right arrow

• Press the mode key

What is the purpose of adjusting the window settings before graphing?

• To reset the calculator

• To change the calculator mode

• To enter a new sequence formula

• To ensure the graph fits within the screen

What is the first term of the sequence when n is 1?

• 0.5

• 2.0

• 3.0

• 1.5

What is the formula for the new sequence b sub n?

• 10 times n plus one

• One half n plus one

• 64 times negative 1/4 raised to the power of n

• 10 times one half raised to the power of n

What happens to the terms of the sequence b sub n as n increases?

• They alternate in sign

• They approach zero

• They increase indefinitely

• They remain constant

What is the initial value of c sub 1 in the alternating sign sequence?

• 4

• 64

• -64

• -16

Why do we need to adjust the window for the alternating sign sequence?

• To change the sequence formula

• To fit the entire sequence on the screen

• To see the alternating signs clearly

• To reset the calculator

What is the y max value set to for the alternating sign sequence?

• 4

• 8

• 16

• 10

What is the significance of the y scale in graphing sequences?

• It resets the calculator

• It changes the sequence formula

• It affects the vertical spacing of the graph

• It determines the number of terms displayed