Question

16. Here is a pattern of houses with matchsticks.
a)Write a general rule for this pattern.
b)If 8 houses are made in this pattern how many match sticks will be required​

Answer 1

Answer:

Step-by-step explanation:

6 matchsticks=1 house

so 8  houses =48 matchsticks

the general rule =I house=6 matchsticks

hope it helped

mark

Answer 2

72 match sticks will be required.

a) The general rule for this pattern of houses with matchsticks appears to be that each house requires one matchstick to create the base, and then an additional matchstick is needed for each additional level of the house. So for a house with n levels, n+1 matchsticks are required.

b) If 8 houses are made in this pattern, 8 matchsticks would be needed for the base of each house and an additional 8 matchsticks would be needed for each additional level of the house.

So the total number of matchsticks required would be 8 + 8 = 16 matchsticks.

It can be represented mathematically as

n(n+1) matchsticks are required to make n houses.

Where n is the number of houses.

So in this case 8 houses are made, so 8*(8+1) = 8*9 = 72 match sticks will be required.

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