Respuesta :
The number of white bricks in the 6th row following a change of pattern at constant rate will be 30.
We have,
A landscaper is designing a wall made of white bricks that follows a change of pattern at constant rate,
And,
The pattern consists of 130 white bricks in the bottom row,
And,
The number of white bricks in the second row = 110,
And,
The number of white bricks in the third row = 90
So,
Now,
The pattern followed by landscaper,
i.e.
(The number of white bricks in the first row) - (The number of white bricks in the second row) = 130 - 110 = 20
And,
(The number of white bricks in the second row) - (The number of white bricks in the third row) = 110 - 90 = 20
Now,
We can see that,
The pattern followed by landscaper is of subtracting 20 bricks from the last row,
So,
Now,
According to the question,
The number of white bricks in the fourth row = 90 - 20 = 70
And,
The number of white bricks in the fifth row = 70 - 20 = 50
So,
The number of white bricks in the sixth row = 50 - 20 = 30,
i.e.
The number of white bricks in the sixth row = 30.
Hence we can say that the number of white bricks in the 6th row following a change of pattern at constant rate will be 30.
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