Waste less time on Facebook — follow Brilliant.
×

The vicious cycle

This note contains the instructions for the three problems.

In these problems, all answers are integers and \(P_{n}\) denotes the answer to the \(n\)th problem, \(n=1, 2, 3\). The \(n\)th problem is also called 'The vicious cycle (\(n\))'.

Problems can be found here

Enjoy!

Note by Joel Tan
2 years, 12 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> 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"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

Gosh this set is nice.

But simultaneously tedious. (Get it?)

(I cheated for the quartic, am I a bad person? ;^;)

Jake Lai - 2 years, 12 months ago

Log in to reply

Yes you are. You offended the god of maths and now you will be banished for an eternity without the presence of a calculator. Wolfram is mathtan and by consulting mathtan, you have eaten the apple of mathematical fallacy. You are now a fallacy. Everything you own is a fallacy. You do not exist. You will wake one day to find yourself as a baby and realised you are fortunate enough to live 80 additional years. Then after that you would nvm. this is going off point. Speaking of a point, if it is not a point, it's dimension mush not be 0. That means it might mean that it is a FUNCTION! A FUNCTION IS POINTLESS! OR POINTFUL! bye

Julian Poon - 2 years, 12 months ago

Log in to reply

Awesome! I loved this problem set. :D

Prasun Biswas - 2 years, 6 months ago

Log in to reply

Really an awesome thinking. Can you suggest me an idea to submit solution? (So that answer of other 2 questions are not revealed)

Pranjal Jain - 2 years, 11 months ago

Log in to reply

Great concept!

Jon Haussmann - 2 years, 12 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...