The vicious cycle

This note contains the instructions for the three problems.

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

Problems can be found here

Enjoy!

Note by Joel Tan
4 years, 10 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

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 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 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 - 4 years, 10 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 - 4 years, 10 months ago

Log in to reply

Great concept!

Jon Haussmann - 4 years, 10 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 - 4 years, 9 months ago

Log in to reply

Awesome! I loved this problem set. :D

Prasun Biswas - 4 years, 4 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...