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

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

Expert Solution

The expanded form of the sum k=042k12k+1 is 1+13+35+57+79.

### 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 k=042k12k+1 simplified as follows.

k=042k12k+1=2(0)12(0)+1+2(1)12(1)+1+2(2)12(2)+1+2(3)12(3)+1+2(4)12(4)+1=11+13+35+57+79=1+13+35+57+79

Thus, the expanded form of the sum k=042k12k+1 is 1+13+35+57+79.

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