# The sum 3 7 + 4 8 + 5 9 + 6 10 + ⋯ + 23 27 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 14E
To determine

## To write: The sum 37+48+59+610+⋯+2327 in sigma notation.

Expert Solution

The sum 37+48+59+610++2327 expressed in sigma notation as i=323ii+4.

### 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 37+48+59+610++2327 is the sum of 20 numbers and number is of the form ii+4, where i varies from 3 to 20.

Thus, by the above definition the sum 37+48+59+610++2327 expressed as follows.

37+48+59+610++2327=i=323ii+4

Thus, the sum 12+23++34+45++1920 expressed in sigma notation as i=323ii+4.

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