Question

The question is in the diagram, Thank you!

Answer 1

Answer: Formula: y = 5x + 2

Step-by-step explanation: If you continue to study the trend, you will see that the common difference is 5, so you can derive an arithmetic progressions formula using it which is 5x + 2 = y; where y is the number of matchsticks and x is the diagram number.

So,

Diagram 3: 5(3) + 2 = 17

4: 22

5: 27

9: 47

20: 102

100: 502

That's your answer!

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