Afireplace contains 72 bricks along its bottom row. if each row above decreases by 6 bricks, what is the function that shows the bricks on the 14th row?

Step-by-step explanation:

To solve this, we are using the formula for the nth term of an arithmetic progression:

where

is the first term of the progression

is the difference

is position of the term in the progression

We know for our problem that the bottom row contains 72 bricks, so . We also know that each row above decreases by 6 bricks, so the difference is -6 ().

Replacing the values:

Where is the row

Since we want to now the number of bricks in the 14th row, :

Since bricks can't be negative, we can conclude that this is an impossible real-life situation.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

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