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[in the following write an expression in terms of the given variables that represents the indicated quantity.]the sum of three consecutive integers if the greatest integer is x.the expression for the sum of the three consecutive integers is _________

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Answer

Sum of the three consecutive integers = 3x - 3

Explanation:

Find the sum of three consecutive integers

Condition given: Greatest integer should be x

Since, x is the greatest integer, therefore, the other integers should be less than x

The three consecutive integers are: x, x - 1, and x - 2

Sum of the three integers = x + x - 1 + x - 2

Sum = x + x - 1 + x - 2

Collect the like terms

= x + x + x - 1 - 2

Sum = 3x - 3

Therefore, the sum of the three consecutive integers is 3x - 3

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