37. How many triangles will be in the seventh figure in thepattern below? Write the instructions for creating the tenthfigure in this sequence. Find the expression for the numberof triangles needed to create the nth shape.

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Answered: 37. How many triangles will be in the…

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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13. Fill in the squares using the digits 4, 5, 6, 7, 8, and 9 exactly one time each to make the largest possible sum: +0 0 O
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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A)Go ahead and do the row and column totals, then the grand total on the lower right hand corner.

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37. How many triangles will be in the seventh figure in the pattern below? Write the instructions for creating the tenth figure in this sequence. Find the expression for the number of triangles needed to create the nth shape.