The sum of the first 11 terms of the series 1 + 2 + 4 + 8 + ... has to be determined.

The terms of the sum form a geometric series with 1 being the first term and 2 as the common ratio. For a geometric series the sum of the first n terms is `a*(r^n -1)/(r - 1)`

Substituting the values from the problem `S_11 = 1*(2^11 - 1)/1 = 2048 - 1 = 2047`

**The value of **`S_11 = 2047`

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now