# The sum 1 1 + 1 4 + 1 9 + 1 16 + 1 25 + 1 36 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 18E
To determine

## To write: The sum 11+14+19+116+125+136 in sigma notation.

Expert Solution

The sum 11+14+19+116+125+136 expressed in sigma notation as i=161i2.

### 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 11+14+19+116+125+136 is the sum of 6 numbers and number is of the form 2i, where i varies from 0 to 5.

Thus, by the above definition the sum 11+14+19+116+125+136 expressed as follows.

11+14+19+116+125+136=i=161i2

Thus, the sum 11+14+19+116+125+136 expressed in sigma notation as i=161i2.

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