# The sum ∑ j = n n + 3 j 2 is in expanded form.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter F, Problem 8E
To determine

## To write: The sum ∑j=nn+3j2 is in expanded form.

Expert Solution

The expanded form of the sum j=nn+3j2 is n2+(n+1)2+(n+2)2+(n+3)2.

### Explanation of Solution

Definition used:

If am,am+1,...,an are real numbers and m and n are integers such that mn, then i=mnai=am+am+1+am+2++an1+an.

Calculation:

By the above definition, the expression j=nn+3j2 simplified as follows.

j=nn+3j2=n2+(n+1)2+(n+2)2+(n+3)2

Thus, the expanded form of the sum j=nn+3j2 is n2+(n+1)2+(n+2)2+(n+3)2.

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!