# The sum 1 + 2 + 4 + 8 + 16 + 32 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 17E
To determine

## To write: The sum 1+2+4+8+16+32 in sigma notation.

Expert Solution

The sum 1+2+4+8+16+32 expressed in sigma notation as i=052i.

### 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 1+2+4+8+16+32 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 1+2+4+8+16+32 expressed as follows.

1+2+4+8+16+32=i=052i

Thus, the sum 1+2+4+8+16+32 expressed in sigma notation as i=052i.

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