S squelchy451 Jun 2010 8 0 Jul 2, 2010 #1 What's the forumula for the sum of numbers 2^1 + 2^2 ... 2^n? Any general forumla for the sum of power of integers p^1 + p^2 ... p^n?

What's the forumula for the sum of numbers 2^1 + 2^2 ... 2^n? Any general forumla for the sum of power of integers p^1 + p^2 ... p^n?

mr fantastic MHF Hall of Fame Dec 2007 16,948 6,768 Zeitgeist Jul 2, 2010 #2 squelchy451 said: What's the forumula for the sum of numbers 2^1 + 2^2 ... 2^n? Any general forumla for the sum of power of integers p^1 + p^2 ... p^n? Click to expand... Review geometric series: Geometric series - Wikipedia, the free encyclopedia

squelchy451 said: What's the forumula for the sum of numbers 2^1 + 2^2 ... 2^n? Any general forumla for the sum of power of integers p^1 + p^2 ... p^n? Click to expand... Review geometric series: Geometric series - Wikipedia, the free encyclopedia

undefined MHF Hall of Honor Mar 2010 2,340 821 Chicago Jul 2, 2010 #3 squelchy451 said: What's the forumula for the sum of numbers 2^1 + 2^2 ... 2^n? Click to expand... In addition to what mr fantastic wrote, you can view this in base 2. For example, n=5 gives \(\displaystyle 111110_2\). This is two less than \(\displaystyle 1000000_2\). So... Reactions: mr fantastic

squelchy451 said: What's the forumula for the sum of numbers 2^1 + 2^2 ... 2^n? Click to expand... In addition to what mr fantastic wrote, you can view this in base 2. For example, n=5 gives \(\displaystyle 111110_2\). This is two less than \(\displaystyle 1000000_2\). So...