Best Answer

For Geometric Progression

#1 = a = 5

#2 = ar = x

#3 = ar^2 = y

#4 = ar^3 = 40

We need to find 'r'

To do this ,divide #4 by #1 , hence

ar^3 / a = 40 / 5

Hence r^3 = 8 (Notice the 'a' cancels down to leave 'r^3'

Cube root both sides

Hence r = 2

When r = 2

#2 = ar = 5 X 2 = 10 = x

#3 = ar%2 - 5 x 2^2 = 5 x 4 = 20 = y

So the geometric progression is 5,x,y,40 = 5,10,20,40

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Q: What are x and y if 5 x y 40 are in a Geometric Progression?

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Continue Learning about Other Math

x2 + 13x + 40 = x2 + 5x + 8x + 40 = x(x + 5) + 8(x + 5) = (x + 8)(x + 5)

1 x 40 = 40 2 x 20 = 40 4 x 10 = 40 5 x 8 = 40

40/2 x 5 = 20 x 5 = 100

1 x 5 = 52 x 5 = 103 x 5 = 154 x 5 = 205 x 5 = 256 x 5 = 307 x 5 = 358 x 5 = 40

1 x 40, 2 x 20, 4 x 10, 5 x 8 = 40

Related questions

The geometric mean is a positive number x such that x/5 = 25/x. Thus, x2 = 125, so x = 5*sqrt(5).

√1 x √25 = 1 x 5 = 5

√5 x √6 = 2.23606797749979 x 2.44948974278318 = 5.47722557505166

-x^2 -13x -40 = -(x^2 + 13x + 40) = -(x + 5)*(x + 8)-x^2 -13x -40 = -(x^2 + 13x + 40) = -(x + 5)*(x + 8)-x^2 -13x -40 = -(x^2 + 13x + 40) = -(x + 5)*(x + 8)-x^2 -13x -40 = -(x^2 + 13x + 40) = -(x + 5)*(x + 8)

40% x 5 = .4 x 5 = 2

40 = 5(x-10) 40 = 5x - 50 5x = 40 + 50 x = 90 / 5 x = 18 to check : 40 = (?) 5 (18 - 10) 40 = 5 (8) 40 = 40

√5 * √45 = 2.236067977 x 6.708203932 = 15

x2 + 13x + 40 = x2 + 5x + 8x + 40 = x(x + 5) + 8(x + 5) = (x + 8)(x + 5)

0.125

5/8 x 40 = 25

5 x 40 = 200

1 x 40 = 40 2 x 20 = 40 4 x 10 = 40 5 x 8 = 40

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