Problem Chaining 2

Hi friends. Well I am just going to post this note to start the problem chaining once again. The first one started by Calvin Lin . Hope this new thread will also receive the same response as the first one. For the new ones on brilliant I will tell the rules in short.

1) In each section there is a topic related to Algebra, Number theory, Combinatorics , Geometry, Calculus, Chemistry, Physics, Biology, etc.

2) First a question will be posted and then the viewers will have to answer the problem.Please avoid posting the same solution again and again.If you have a new solution, then you can post it.

3) After posting the solutions, You have to post a question in the end of your comment of solutions in order to continue the chain.

4) Also the problem writer can write the solution to the problems after 4 days in order to continue the chain.

In this way there will be a stream of questions for the people any many will be able to learn new ways of solving problems. If you solve the problem then you will receive +1 point. At the end of the week , a table showing the scores of people will be posted ( inspired from CMC). Thus you can get an opportunity to solve 'To Prove' types of problems and you will have various problems to solve. And please share this post in order to keep this post alive. ALL THE BEST and try your best. Thanks.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered 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"

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}`	$\boxed{123}$

Problem Chaining 2

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