Take a sequence of diagrams and imagine building each diagram from matchsticks, like the one shown below (the length of each matchsticks is 1 unit). First diagram Second diagram Third diagram a) If possible, use at least two visual strategies to determine how many matchsticks are needed to make the nth diagram. Do not simplify your answers. Explain your visual strategies. If possible, color each component of the expression that represents the solution to the problem using a different color. b) If possible, use at least two visual strategies to determine the perimeter of the nth diagram. Do not simplify your answers. Explain your visual strategies. If possible, color each component of the expression that represents the solution to the problem using a different color.
Take a sequence of diagrams and imagine building each diagram from matchsticks, like the one shown below (the length of each matchsticks is 1 unit). First diagram Second diagram Third diagram a) If possible, use at least two visual strategies to determine how many matchsticks are needed to make the nth diagram. Do not simplify your answers. Explain your visual strategies. If possible, color each component of the expression that represents the solution to the problem using a different color. b) If possible, use at least two visual strategies to determine the perimeter of the nth diagram. Do not simplify your answers. Explain your visual strategies. If possible, color each component of the expression that represents the solution to the problem using a different color.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Take a sequence of diagrams and imagine building each diagram from matchsticks, like the one shown
below (the length of each matchsticks is 1 unit).
First diagram
Second diagram
Third diagram
a) If possible, use at least two visual strategies to determine how many matchsticks are needed to make the nth
diagram. Do not simplify your answers. Explain your visual strategies. If possible, color each component
of the expression that represents the solution to the problem using a different color.
b) If possible, use at least two visual strategies to determine the perimeter of the nth diagram. Do not simplify
your answers. Explain your visual strategies. If possible, color each component of the expression that
represents the solution to the problem using a different color.
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