New user? Sign up

Existing user? Sign in

Here's a question for you:

What is the value of :

\((0.05)^{\log_\sqrt{20} (0.1+0.01+0.001..............\infty)}\)

Note by Snehdeep Arora 4 years, 4 months 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:

First we sum the infinite geometric series with first term 0.1, common ratio 0.1 We get S = 0.1/(1-0.1) = 1/9. Take 0.05 = 1/20 = (√20)^-2, then the term can be resolved to 81. (Sorry can't show expression by typing)

Is this correct?

Log in to reply

yeah

81

Is the answer 81?

correct

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:

TopNewestFirst we sum the infinite geometric series with first term 0.1, common ratio 0.1 We get S = 0.1/(1-0.1) = 1/9. Take 0.05 = 1/20 = (√20)^-2, then the term can be resolved to 81. (Sorry can't show expression by typing)

Is this correct?

Log in to reply

yeah

Log in to reply

81

Log in to reply

81

Log in to reply

Is the answer 81?

Log in to reply

correct

Log in to reply