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

• July 2nd 2010, 06:49 PM
squelchy451
Sum of numbers 2^1 + 2^2 ... 2^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?
• July 2nd 2010, 06:59 PM
mr fantastic
Quote:

Originally Posted by squelchy451
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?

Review geometric series: Geometric series - Wikipedia, the free encyclopedia
• July 2nd 2010, 07:01 PM
undefined
Quote:

Originally Posted by squelchy451
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 $111110_2$. This is two less than $1000000_2$. So...