If 8,x,y,-4 is an arithmetic progression, find x and y

there are three terms from the first to the last, so

3d = -4-8 = -12
now you can find d, and add it to find the missing terms.

a+(n-1)d = -4

8+(4-1)d = -4
8+3d = -4
3d = -4-8
3d = -12
Divide both sides by 3
3d/3 = -12/3
d = -4
x = a+d
= 8+(-4
x = 4
y = a+2d
= 8+2(-4)
= 8-8
y = 0
Therefore; x is 4 and y is 0

If 8,x،y,-4 find x and y

PLEASE

If 8,x،y,-4 find x and y

Solve the x and y

Mathematice

It make sence

To find the values of x and y in the given arithmetic progression, we need to consider the common difference between consecutive terms. In an arithmetic progression, the common difference is the same between every pair of consecutive terms.

Let's calculate the common difference of the arithmetic progression by subtracting each term from its preceding term:

x - 8 = y - x
y - x = -4 - y

Now, let's simplify the above equations:

2x = 8 + y
2y = 4 - x

To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method:

From equation 1, we can express y in terms of x:

y = 2x - 8

Substituting this value of y in equation 2:

2(2x - 8) = 4 - x

Simplifying this equation:

4x - 16 = 4 - x
5x = 20
x = 4

Substituting the value of x in the equation y = 2x - 8:

y = 2(4) - 8
y = 0

Therefore, the values of x and y in the given arithmetic progression are x = 4 and y = 0.