Hi guys , i came across this summation and i couldn't solve it any ideas?

\[ \sum_{n=0}^\infty\frac{5^n(3^{5^{n+1}}-5\times3^{5^n}+4)}{729^{5^n}-243^{5^n}-5\times3^{5^n}+1}\]

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:

TopNewestWhat's so interesting about this sum? It doesn't appear to converge to any "nice" number.

Log in to reply

actually it converge to \(\frac { 1 }{ 2 } \) according to WolframAlpha

Log in to reply

No, it's actually slightly larger than 0.512.

Log in to reply

Log in to reply

Log in to reply

@Chew-Seong Cheong can you help me please?!

Log in to reply