SOLUTION: Model the following sequence of toothpick figures, Rectangles with Pluses, with toothpicks and: a. Step One: Loop and number each figure and Numerically determine the total nu

Question 607507: Model the following sequence of toothpick figures, Rectangles with Pluses, with toothpicks
and:
a.
Step One: Loop and number each figure and Numerically determine the total number of
toothpicks in each figure. Mark your number counts on the figures.
Step Two: Convert your looping ideas into Words.
Step Three: Convert your looping and word ideas into Symbols. Simplify your symbolic
equations and check them for n = 1, 2, 3, 4, 5 and 6.
RECTANGLES WITH PLUSES
fIGURE ONE: I _ _ I fIGURE TWO: I _ _ I_+_I (TWO DASHES ON TOP OF PLUS SIGN TO MAKE TWO SQUARES) fIGURE 3: I _ _ I_+_I__ _I (ALSO TWO DASHES ON TOP OF PLUS SIGN TO MAKE TWO SQAURES)
1 2 3
b. How many toothpicks will there be in the 99th Rectangles with Pluses figure?
c. How many toothpicks will there be in the 100th Rectangles with Pluses figure?
d. How many toothpicks will there be in the 101st Rectangles with Pluses figure?
e. For which Rectangles with Pluses figure are there 124 toothpicks?
f. For which Rectangles with Pluses figure are there 171 toothpicks?
g. For which Rectangles with Pluses figure are there 1009 toothpicks?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
similar to next problem. rules say no similar problems
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