A pattern of houses uses matchsticks: 1 house uses 6 sticks, 2 houses sharing a wall use 11 sticks, 3 houses use 16 sticks, adding 5 each time. How many sticks are needed for 20 houses joined in a row?

Question

Accepted Answer

101. Rule: sticks = 5n + 1. Check n = 1: 5 + 1 = 6. For 20 houses: 5 x 20 + 1 = 100 + 1 = 101 sticks.

A pattern of houses uses matchsticks: 1 house uses 6 sticks, 2 houses sharing a wall use 11 sticks, 3 houses use 16 sticks, adding 5 each time.
How many sticks are needed for 20 houses joined in a row?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Patterns and Rules practice

A pattern of houses uses matchsticks: 1 house uses 6 sticks, 2 houses sharing a wall use 11 sticks, 3 houses use 16 sticks, adding 5 each time.How many sticks are needed for 20 houses joined in a row?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Patterns and Rules practice

A pattern of houses uses matchsticks: 1 house uses 6 sticks, 2 houses sharing a wall use 11 sticks, 3 houses use 16 sticks, adding 5 each time.
How many sticks are needed for 20 houses joined in a row?