The value of x such that 8x+4, 6x-2, 2x+7 will form an A.P is
In an arithmetic progression (A.P), the difference between any two consecutive terms is constant.
To determine the value of x that will make the given expressions form an A.P, we need to find the common difference.
The common difference (d) between the terms is given by the difference between any two consecutive terms.
So, let's find the differences between the terms:
- Difference between the second and first term: (6x - 2) - (8x + 4) = -2x - 6
- Difference between the third and second term: (2x + 7) - (6x - 2) = -4x + 9
Since the common difference is constant, the two differences above must be equal to each other:
-2x - 6 = -4x + 9
To solve for x, we can rearrange the terms and combine like terms:
2x - 4x = 9 + 6
-2x = 15
x = 15 / -2
x = -7.5
Therefore, the value of x that will make the given expressions form an A.P is -7.5.
To determine the value of x such that 8x+4, 6x-2, 2x+7 form an arithmetic progression (A.P), we need to find a common difference between consecutive terms.
The common difference for an A.P is calculated by subtracting the second term from the first and the third term from the second, and if they are both equal, it is the common difference.
So, let's find the common difference between the given terms:
Common difference = (6x-2) - (8x+4)
= 6x - 2 - 8x - 4
= -2x - 6
Now, we can equate the common difference to the difference between the second and third terms:
-2x - 6 = (2x+7) - (6x-2)
-2x - 6 = 2x + 7 - 6x + 2
-2x - 6 = -4x + 9
To solve for x, we will combine like terms and isolate the variable x:
-2x + 4x = 9 + 6
2x = 15
x = 15/2
x = 7.5
Therefore, the value of x such that 8x+4, 6x-2, 2x+7 form an arithmetic progression is x = 7.5.
To determine the value of x such that the given expressions form an arithmetic progression (A.P.), we need to find a common difference between the terms.
In an A.P., the difference between any two consecutive terms is constant. So, we'll set up equations and solve them to find the common difference.
The given expressions are:
1) 8x + 4
2) 6x - 2
3) 2x + 7
To find the common difference, we'll subtract the first term from the second term and the second term from the third term. Equating these differences will give us the equation:
(6x - 2) - (8x + 4) = (2x + 7) - (6x - 2)
Simplifying this equation:
6x - 2 - 8x - 4 = 2x + 7 - 6x + 2
-2x - 6 = -4x + 9
To solve the equation, move all the terms with x to one side and the constant terms to the other side:
-2x + 4x = 9 + 6
2x = 15
x = 15/2
x = 7.5
Therefore, the value of x that will form an A.P. with the expressions 8x + 4, 6x - 2, 2x + 7 is x = 7.5.