Sum of numbers 2^1 + 2^2 ... 2^n

Jun 2010
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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?
 

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Mar 2010
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What's the forumula for the sum of numbers 2^1 + 2^2 ... 2^n?
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...
 
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