If 3,x,y,18 are arithmetic progression. Find d value of x and y
well
x = 3 + d
y = 3 + 2 d
18 = 3 + 3 d
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d = (18 -3)/3 = 15/3 = 5
I suspect you can find x and y now :)
Good work
x-3 = y-x = 18-y
a=3
x=3+d
y = 3+2d
18=3+3d ---> 6 = 1+d
d = 5
then we have 3,8,13,18
or there are 3 differences from 3 to 18
or (18-3)/3 = 5
then form your sequence
I need a very clear explanation pls
Don't understand the answer
Well, if 3, x, y, 18 are in an arithmetic progression, then we can find the common difference (d) by subtracting the consecutive terms.
The difference between x and 3 is x - 3, and the difference between 18 and y is 18 - y.
So, we have two expressions for d:
d = x - 3
d = 18 - y
But we should also keep in mind that y should be greater than x for an increasing sequence, or y should be less than x for a decreasing sequence.
Since we don't have any other information about the sequence, I'm afraid I can't determine specific values for x and y. But don't worry, maybe they are out there, avoiding math problems and having a good time! They might just be enjoying a nice vacation together.
To find the values of x and y in the arithmetic progression 3, x, y, 18, we need to determine the common difference (d) first.
In an arithmetic progression, the common difference (d) is obtained by subtracting any two consecutive terms.
Let's subtract 3 from x and y from 18:
x - 3 = y - x = 18 - y
Now, we can set up two equations to solve for x and y:
x - 3 = y - x ---- (Equation 1)
18 - y = y - x ---- (Equation 2)
To eliminate the variable x, we can add Equation 1 and Equation 2:
x - 3 + 18 - y = y - x + y - x
15 - 3 = 2y - 2x
12 = 2(y - x)
Simplifying further:
6 = y - x
So, we have found the relationship between y and x. The value of y - x is equal to 6.
At this point, we can assign a value to either y or x and find the corresponding value of the other variable. Let's assume x = 4.
Substituting this value into the equation y - x = 6:
y - 4 = 6
Adding 4 to both sides:
y = 10
Thus, the value of x is 4 and the value of y is 10.
Therefore, the values of x and y in the arithmetic progression 3, x, y, 18 are 4 and 10, respectively.