Find the value of x, given that x+1, 2x and 2x+3 are consecutive term of a linear sequence
To find the value of x, we can set up an equation using the given information.
A linear sequence is characterized by a common difference between each term. The common difference is the same between any two consecutive terms.
In this case, the terms x+1, 2x, and 2x+3 are consecutive terms of a linear sequence.
We can set up the equation using the common difference:
(2x) - (x+1) = (2x+3) - (2x)
Simplifying the equation, we have:
2x - x - 1 = 2x + 3 - 2x
x - 1 = 3
To isolate x, we can add 1 to both sides of the equation:
x - 1 + 1 = 3 + 1
x = 4
Therefore, the value of x is 4.