# The sum 2 + 4 + 6 + 8 + ⋯ + 2 n 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 15E
To determine

## To write: The sum 2+4+6+8+⋯+2n in sigma notation.

Expert Solution

The sum 2+4+6+8++2n expressed in sigma notation as i=1n2i.

### 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 2+4+6+8++2n is the sum of n numbers and number is of the form ii+1, where i varies from 1 to n.

Thus, by the above definition the sum 2+4+6+8++2n expressed as follows.

2+4+6+8++2n=i=1n2i

Thus, the sum 2+4+6+8++2n expressed in sigma notation as i=1n2i.

### 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!