Toothpick Townhouse Construction Patterns

The video tutorial demonstrates how to build townhouses using toothpicks, starting with a single house requiring 6 toothpicks. As more houses are added, they share walls, reducing the number of additional toothpicks needed to 5 per house. The tutorial identifies a pattern in toothpick usage and derives a formula to calculate the number of toothpicks needed for any number of houses. This pattern is applied to calculate the toothpicks required for 50 houses, illustrating the scalability of the method.

How many toothpicks are needed to build the first townhouse?

• 3

• 5

• 6

• 4

Why do additional townhouses require fewer toothpicks?

• They use a different design.

• They share common walls.

• They are smaller in size.

• They are built with fewer sides.

How many toothpicks are needed to build two townhouses?

• 11

• 13

• 10

• 12

What is the pattern for calculating the number of toothpicks needed for multiple townhouses?

• Add 4 for each house.

• Add 6 for each house.

• Add 3 for each house.

• Add 5 for each house after the first.

How many times do you add 5 toothpicks when building the fourth townhouse?

• Twice

• Four times

• Once

• Three times

What is the formula to calculate the number of toothpicks for 'n' townhouses?

• 5 * n + 6

• 6 * n + 5

• 5 + 6 * (n - 1)

• 6 + 5 * (n - 1)

What is the total number of toothpicks needed for 3 townhouses?

• 26

• 11

• 16

• 21

If you have 5 townhouses, how many times do you add 5 toothpicks?

• 6 times

• 5 times

• 3 times

• 4 times

What is the initial number of toothpicks needed before adding for additional houses?

• 7

• 6

• 5

• 4

How many toothpicks are needed for 50 townhouses?

• 245

• 250

• 255

• 251