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.

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!