Main post link -> http://en.wikipedia.org/wiki/1*%2B*2*%2B*4*%2B*8*%2B*%E2%8B%AF

What is this supposed to mean -

"In mathematics, 1 + 2 + 4 + 8 + … is the infinite series whose terms are the successive powers of two. As a geometric series, it is characterized by its first term, 1, and its common ratio, 2. As a series of real numbers it diverges to infinity, so in the usual sense it has no sum. In a much broader sense, the series is associated with another value besides ∞, namely −1." -Wikipedia

How could sum of numbers be associated with two unequal numbers. Doesn't it violate any mathematical laws? Doesn't it create a difficult mathematical situation in which we might say -1=∞ and how can we really interpret this result? For those who are wondering how 1+2+4+8+.... = -1. Notice this could be written as 1+2(1+2+4+...)=1+2+4+8+16+.... Lets say 1+2+4+8+16... = s. Now we get 1+2s=s which implies s = -1. (See the link)

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestI posted this before

Log in to reply

OH I didn't knew that. Can you give the link?

Log in to reply