Write the algebraic expression described. Simplify if possible.
EXAMPLE 10
If x is the first of three consecutive integers, express the sum of the three integers in terms of x. Simplify if possible.
Solution
An example of three consecutive integers is
The second consecutive integer is always 1 more than the first, and the third consecutive integer is 2 more than the first. If x is the first of three consecutive integers, the three consecutive integers are
Their sum is
which simplifies to 3x + 3.
If x is the first of four consecutive integers, express the sum of the first integer and the third integer as an algebraic expression containing the variable x.
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