Hello MHF.

Let's look at this sequence...

1/[1*2] + 1/[2*3] + 1/[3*4] + ....

Get the pattern?

Yah its...

1/[n(n+1)] = n/[n+1]

So we have...

1/[1*2] + 1/[2*3] + 1/[3*4] + .... + 1/[n(n+1)] = n/[n+1]

I'm supposed to show that the statement holds for all positive integers n.

This will require the use of mathematical induction.

I haven't really learned this yet so be patient. I know I have to show that when n=1 the statement is true.

So we have...

n=1 means that we just do the first term (left side), which is 1/(1*2) = 1/2 or 0.5. The right hand side is 1/(1+1) = 1/2 = 0.5 SAME YAY so far so good!

But then it wants me to show that they n=k and then it wants me to show that n=k+1.

Can someone walk me through these steps?

Thanks