Cheat Engine

Trucido · Moderator Reputation: 6 Joined: 08 Sep 2007 Posts: 2792

Consider the square puzzle below. The large outer square has a side length of 2 metres. The midpoints of the adjacent sides are joined to form a smaller square. The midpoints of the adjacent sides of that square are joined to form a smaller square and so on.

Investigate and evaluate the validity of the argument that if this pattern is continued for ever the sum of the perimetres of all the squares will approach a definite limit.

Now, using Pythagoras I have already been able to calculate that the perimetre goes.
8, 4√2, 4, (4√2)/2...

With the first term (a) being 8 and the common ratio (r) being √0.5

After using the formula for sum to infinity (S=a/1-r) I was able to calculate that its sum to infinity is 6.828, but is that the limit that I am looking for? And can somebody point me in the right direction.

GARCIE · Posted: Tue Jun 16, 2009 1:17 am Post subject:

wat grade math is this

Trucido · Moderator Reputation: 6 Joined: 08 Sep 2007 Posts: 2792

Trucido · Moderator Reputation: 6 Joined: 08 Sep 2007 Posts: 2792

Never mind this, I had the sequence wrong, and all I needed to do was multiply the sum to infinity by 4.