Find the value of x given that x+1,2x and 2x+3are consecutive terms of an AP and hence fund the both term
since there is a common difference,
2x - (x+1) = 2x+3 - 2x
All of you are fools🚶
Where is the answer
To solve this problem, let's first write down the terms of the arithmetic progression (AP) based on the given information:
x + 1, 2x, 2x + 3
We know that consecutive terms of an AP have a common difference between them. So, we can write equations using this property.
First, we can set up the equation using the first two terms:
2x - (x + 1) = (2x + 3) - 2x
Simplifying this equation, we get:
x - 1 = 3
Next, we solve for x:
x = 3 + 1
x = 4
Now that we have found the value of x as 4, we can substitute it back into the terms of the AP to find the both term:
Both term = 2x + 3
Both term = 2(4) + 3
Both term = 8 + 3
Both term = 11
Therefore, the value of x is 4 and the both term of the AP is 11.