BuyFind

Precalculus: Mathematics for Calcu...

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

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

Answer to Problem 8E

  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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