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!

#Algebra #Geometry #QuarticPolynomial

Easy Math Editor

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Math	Appears 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

Gosh this set is nice.

But simultaneously tedious. (Get it?)

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

Jake Lai - 6 years, 4 months ago

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 - 6 years, 4 months ago

Great concept!

Jon Haussmann - 6 years, 4 months ago

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 - 6 years, 4 months ago

Awesome! I loved this problem set. :D

Prasun Biswas - 5 years, 11 months ago

Math	Appears 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}`	$\boxed{123}$