# The sum 3 + 4 + 5 + 6 + 7 in sigma notation.

### 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 12E
To determine

## To write: The sum 3+4+5+6+7 in sigma notation.

Expert Solution

The sum 3+4+5+6+7 expressed in sigma notation as i=37i.

### 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:

Here, the sum 3+4+5+6+7 is the sum of 5 numbers and the number is of the form i, where i varies from 3 to 7.

Thus, by the above definition the sum 3+4+5+6+7 expressed as follows.

3+4+5+6+7=i=37i

Thus, the sum 3+4+5+6+7 expressed in sigma notation as i=37i.

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