In this post I’ll be proving to you that:

Firstly, I’ll say that:

And also that:

If this is the case, then:

And as this is in the form:

I would have to conclude that:

Hence, I have my proof.

In this post I’ll be proving to you that:

Firstly, I’ll say that:

And also that:

If this is the case, then:

And as this is in the form:

I would have to conclude that:

Hence, I have my proof.

In this blog post I’ll be revealing more ways (4 in fact) in which to express or come up with the value of the **golden ratio**…

**Number One:**

**Number Two:**

**Number Three:**

**Number Four:**

And check out this calculator trick…

If you’re not satisfied with what I’ve already produced, then you can have a go at proving that…

Without using the phi (φ) symbol.

Enjoy!!! 😀

In this post I’m going to be proving that…

So, here I go…

Wait for it…

This expression for the golden ratio is quite common, however, before I produced this post – I think it would’ve been very hard to figure out how to derive it from scratch. There aren’t many quirky proofs like this one on the internet – I am quite certain. I hope you liked reading this post! 😀

Prove that:

Proof:

Second Proof:

Prove that:

Proof:

Second Proof:

— USEFUL FORMULAS: