New user? Sign up

Existing user? Log in

What is special about the sequence below ?

\[8505 , 85050 , 850500 , 8505000 , ......\]

Note by A Brilliant Member 3 years ago

Easy Math Editor

*italics*

_italics_

**bold**

__bold__

- bulleted- list

1. numbered2. list

paragraph 1paragraph 2

paragraph 1

paragraph 2

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

> This is a quote

This is a quote

# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

2 \times 3

2^{34}

a_{i-1}

\frac{2}{3}

\sqrt{2}

\sum_{i=1}^3

\sin \theta

\boxed{123}

Sort by:

All that i can see is your question and \(\displaystyle \sum _{ n=1 }^{ \infty }{ \frac { { \sigma }_{ 2 }\left( n \right) }{ { n }^{ 6 } } } =\frac { { \pi }^{ 6 } }{ 945 } \times \frac { { \pi }^{ 4 } }{ 90 } =\frac { { \pi }^{ 10 } }{ 85050 } \)

Log in to reply

Yes you are right Joel.

Go further .... Try with sigma_3

That will give odd zetas

It will give odd zeta which is what you do not what as they are irreducable

@Joel Yip – Sorry not with odd zetas try with even zetas andbakso change power of n with change in sigma_x

Can you actually find 8505000 or 8505?

Next number 85050000. @Chinmay Sangawadekar

Not in that sense .

Then, what is the next number?

@Abhay Kumar – I think your number is correct , but i want its speciality

@A Brilliant Member – no '0" after 5 in 1st...... 1 '0' after 5 in 2nd.....Therefore ans is 85050000.I did like this. :P

@Abhay Kumar – nope it is related to Dirichlet series .

@A Brilliant Member – Something related to zeta as the sigma is the divisor function

@Joel Yip – You. Are right ... Dirichlet's series of sigma function...

Is a geometric progression with reason 10

I see the pattern

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:

TopNewestAll that i can see is your question and \(\displaystyle \sum _{ n=1 }^{ \infty }{ \frac { { \sigma }_{ 2 }\left( n \right) }{ { n }^{ 6 } } } =\frac { { \pi }^{ 6 } }{ 945 } \times \frac { { \pi }^{ 4 } }{ 90 } =\frac { { \pi }^{ 10 } }{ 85050 } \)

Log in to reply

Yes you are right Joel.

Log in to reply

Go further .... Try with sigma_3

Log in to reply

That will give odd zetas

Log in to reply

It will give odd zeta which is what you do not what as they are irreducable

Log in to reply

Log in to reply

Can you actually find 8505000 or 8505?

Log in to reply

Next number 85050000. @Chinmay Sangawadekar

Log in to reply

Not in that sense .

Log in to reply

Then, what is the next number?

Log in to reply

Log in to reply

Log in to reply

Log in to reply

Log in to reply

Log in to reply

Is a geometric progression with reason 10

Log in to reply

I see the pattern

Log in to reply