# The sum ∑ i = 1 5 i i + 1 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 2E
To determine

## To write: The sum ∑i=15ii+1 is in expanded form.

Expert Solution

The expanded form of the sum i=15ii+1 is 12+13+14+15+16.

### 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 i=15ii+1 simplified as follows.

i=15ii+1=11+1+12+1+13+1+14+1+15+1=12+13+14+15+16

Thus, the expanded form of the sum i=15ii+1 is 12+13+14+15+16.

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