How would you represent the sum of two consecutive integers starting from x?

How would you represent the sum of two consecutive integers starting from x?

• A. x + (x + 1)
• B. x + (x + 2)
• C. 2x + 1
• D. 2(x + 1)

Answer: (A)

To represent the sum of two consecutive integers starting from \( x \), you can consider the first integer as \( x \) and the next integer, which is consecutive to \( x \), as \( x + 1 \). The sum of these two integers can be mathematically expressed as: \[ x + (x + 1) \] When you simplify this expression, you essentially combine like terms: \[ x + (x + 1) = x + x + 1 = 2x + 1 \] Thus, while the simplified expression \( 2x + 1 \) also represents the sum, the direct representation of the original two consecutive integers in the context of the question is accurately given by \( x + (x + 1) \). This formulation clearly captures the concept of consecutive integers, establishing a clear link between \( x \) and its following integer. Therefore, the first option effectively conveys the requirement of the problem.

To represent the sum of two consecutive integers starting from ( x ), you can consider the first integer as ( x ) and the next integer, which is consecutive to ( x ), as ( x + 1 ). The sum of these two integers can be mathematically expressed as:

[

x + (x + 1)

]

When you simplify this expression, you essentially combine like terms:

[

x + (x + 1) = x + x + 1 = 2x + 1

]

Thus, while the simplified expression ( 2x + 1 ) also represents the sum, the direct representation of the original two consecutive integers in the context of the question is accurately given by ( x + (x + 1) ). This formulation clearly captures the concept of consecutive integers, establishing a clear link between ( x ) and its following integer. Therefore, the first option effectively conveys the requirement of the problem.