Question

Express the given quantity in terms of the indicated variable.

The sum of three consecutive integers; n = first integer of the three.

Short answer

The integer is $3n+3$.

Step-by-step solution

Step 1. Concept used.

Consecutive integers differ by 1. The numbers 3, 4, and 5 are examples of consecutive integers.

Step 2. Add the expression.

Use this fact to model the second and third integers.

$n,n+1,n+2$

So, add the expressions:

$n+\left(n+1\right)+\left(n+2\right)$

Step 3. Evaluate the expression.

Remove parentheses:

$\begin{array}{l}=n+n+1+n+2\\ =3n+3\end{array}$