Jan is using toothpicks to create patterns as shown below.Figure 1
Figure 2
Figure 3
based on the pattern, how many toothpicks will Jan use in figure 20?

Answers

Answer 1

Answer:

Where Jan is using toothpicks to create patterns as shown below, He will need 79 toothpicks to complete figure 16. This is an arithmetic progression problem.

How to derive the Number of Toothpicks required for the 20th diagram

As indicated above, the given sequence is an arithmeticprogression.

It is also to be noted that each figure increases with a number of 4 toothpicks.

Thus, to find how many toothpicks will be required at the 20th figure, we need to use the following formula:

The nth term of an arithmetic sequence is given by the formula:

$a_n = a_1 + (n-1)d$

For this sequence:

$$a_1 = 3$,$

$$d = 4$,$

$$n = 20$.$

$a_(20) = 3 + (20-1) * 4$

$a_(20) = 3 + 19 * 4$

$a_(20) = 3 + 76$

$a_(20) = 79$

Learn more about arithmetic progression at:

brainly.com/question/6561461

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jan is using toothpicks to create patterns as shown below. Based on the pattern, how many toothpicks will Jan use in Figure 16?
See attached.

Answer 2

Answer:

Answer:

explanation:

They are adding 2 triangles to each figure, you could do it the LONG way by adding 2 to each figure or use an explicit rule

Hope it helps!

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