My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
April 29th, 2014, 12:59 PM   #1
Senior Member
 
Joined: Nov 2013

Posts: 434
Thanks: 8

sequence

The sum of the first n terms of the sequence
\[ 1,~(1+2),~(1+2+2^2),~\dots ~(1+2+2^2+\dots+2^{n-1}) \]
mared is offline  
 
April 29th, 2014, 01:42 PM   #2
Math Team
 
Joined: Apr 2010

Posts: 2,780
Thanks: 361

$\displaystyle \sum_{j=0}^{n-1}\sum_{i=0}^{j}2^i = \sum_{j=0}^{n-1}\left(2^{j+1}-1\right) = 2^{n+1}-2-n$
Hoempa is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
sequence



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Particular sequence momo Number Theory 32 October 6th, 2010 06:04 PM
sequence of the average of a sequence elim Real Analysis 8 May 23rd, 2010 12:23 PM
A sequence sea_wave Applied Math 2 October 31st, 2009 04:53 PM
sequence rose3 Real Analysis 1 October 30th, 2009 03:15 PM
cauchy sequence that isn't a fast cauchy sequence babyRudin Real Analysis 6 October 10th, 2008 11:11 AM





Copyright © 2019 My Math Forum. All rights reserved.