Question
Asked Nov 10, 2019
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2
C
%GD
90
Day 9 HW
4.
The patterns of dots below represent the first three hexagonal numbers.
Figure 1
Figure 2
Figure 3
O O
a. What are the first three hexagonal numbers?
b. Find the next two hexagonal numbers.
C. Write an equation you can use to calculate the rith hexagonal number.
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2 C %GD 90 Day 9 HW 4. The patterns of dots below represent the first three hexagonal numbers. Figure 1 Figure 2 Figure 3 O O a. What are the first three hexagonal numbers? b. Find the next two hexagonal numbers. C. Write an equation you can use to calculate the rith hexagonal number.

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Expert Answer

Step 1

Part (a):

The hexagon with n regularly spaced points on a side will be the number of points.

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The first 3 hexagonal numbers in Figure is represented as, 1 6, and 15. (Distinct vertex) 6 15

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Step 2

Part (b):                 &n...

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hexagonalnumber =nx(2n-1) When,n 4 h=4x(2.4-14x7 28 When, n 5 h-5x(2-5-1 5x9=45 Next two hexagonal numbers is represented as 28 45

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