Using the Formula 2×middle number = third number - first number to Find the Value of x in Consecutive Term Questions

In mathematics, consecutive term questions involve a series of numbers where each number is obtained by adding a common difference to the previous number. One common problem in this type of question is finding the value of an unknown variable, often denoted as 'x', in the series. The formula 2×middle number = third number - first number can be used to solve such problems. Let's break down the process step by step:

Step 1: Identify the Consecutive Terms
The first step in solving a consecutive term question is to identify the given series of consecutive terms. For example, let's take the series 1, x, 5.

Step 2: Assign Variables
Assign variables to the consecutive terms to make the problem easier to solve. In this case, we can assign the variables as follows:
- First number: 1
- Middle number (unknown): x
- Third number: 5

Step 3: Apply the Formula
Now, substitute the variables into the formula 2×middle number = third number - first number and solve for x.

2×x = 5 - 1

Simplifying the equation gives us:

2x = 4

Step 4: Solve for x
To find the value of x, divide both sides of the equation by 2:

x = 4/2

x = 2

Therefore, the value of x in the given series 1, x, 5 is 2.

Conclusion
The formula 2×middle number = third number - first number is a useful tool for finding the value of an unknown variable in consecutive term questions. By assigning variables to the consecutive terms and substituting them into the formula, we can solve for the unknown variable and determine its value.