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AMC 8 2020 Problem 4 | Dot Pattern Problem

Try this beautiful Problem based on Number Pattern from AMC 8 2020.

Dot Pattern Problem - AMC 8 2020 Problem 5


Three hexagons of increasing size are shown below. Suppose the dot pattern continues so that each successive hexagon contains one more band of dots. How many dots are in the next hexagon?

  • 35
  • 37
  • 39
  • 43
  • 49

Key Concepts


Number Pattern

Sequence

Visualization

Suggested Book | Source | Answer


AMC 8 2020 Problem 4

37

Try with Hints


Try to see the three figures carefully

First hexagon has one dot and second hexagon has 7 dots. And the 3rd hexagon has dots.

Now, If we notice carefully , we have We have $h_{1}=1$ and $h_{n+1}=h_{n}+6 n$.where, $h_{n}$ denote the number of dots in the $n$th hexagon.

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Try this beautiful Problem based on Number Pattern from AMC 8 2020.

Dot Pattern Problem - AMC 8 2020 Problem 5


Three hexagons of increasing size are shown below. Suppose the dot pattern continues so that each successive hexagon contains one more band of dots. How many dots are in the next hexagon?

  • 35
  • 37
  • 39
  • 43
  • 49

Key Concepts


Number Pattern

Sequence

Visualization

Suggested Book | Source | Answer


AMC 8 2020 Problem 4

37

Try with Hints


Try to see the three figures carefully

First hexagon has one dot and second hexagon has 7 dots. And the 3rd hexagon has dots.

Now, If we notice carefully , we have We have $h_{1}=1$ and $h_{n+1}=h_{n}+6 n$.where, $h_{n}$ denote the number of dots in the $n$th hexagon.

Subscribe to Cheenta at Youtube


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