# To express: the given quantity in terms of the indicated variable. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 8E
To determine

## To express: the given quantity in terms of the indicated variable.

Expert Solution

3n .

### Explanation of Solution

Given:

The given quantity is “the sum of three consecutive integers”.

As n is the middle integer of the three terms.

Calculation:

According to question,n is the middle integer of the three terms.

Let the common difference of the consecutive integers is d.

Therefore, first term is nd .

And the third term will be n+d .

Therefore,the sum of three consecutive integers is

(nd)+n+(n+d)=3n+dd=3n

Hence, the sum of three consecutive integers is 3n .

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