ConfuzzledKitten

5 Questions
14 Answers

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Number Theory

a) Show that n(2n + 1)(7n + 1) is divisible by 6 for all integers n.
b) Find all integers n such that n(2n + 1)(7n + 1) is divisible by 12.

So far here is what I have: For part a), read more ..

ConfuzzledKitten Aug 6, 2020

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Another geo problem

Hi! I have another geometry problem that I'm stuck on, can someone give me a hint or push me in the right direction?

The vertices of triangle ABC lie on the sides of equilateral triangle DEF, as shown. If CD = 3, CE = BD read more ..

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ConfuzzledKitten Jun 23, 2020

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Geometry

Hi everyone! This is a problem from the last class of my geometry course, and I am a bit stuck on it. The week focus is "challenging problems", so I know that it is meant to be hard and I just need a hint to get started, because I don't know read more ..

ConfuzzledKitten Jun 22, 2020

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Number theory bases problem

For each part of this problem, convert the fraction to a "decimal" in the specified base.
(a) Convert the fraction 1/2 to base 3
(b) Convert the fraction 1/7 to base 8
(c) Convert the fraction 1/(b-1) to base b

Thank you read more ..

ConfuzzledKitten Jun 19, 2020

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Multiple questions... please don't hate

Hi everyone! I am new here, and I have multiple questions. One is a mathematics question, so I will put that first:

Find a base 7 three-digit number which has its digits reversed when expressed in base 9.

I read more ..

ConfuzzledKitten Jun 18, 2020