What am I doing wrong with this proof?

So, I'm trying to use induction to prove:

Base case is true.

Assume:

Test:

This next step is what seems to cause the problems. If the 3/4 on the LHS was not in brackets, everything would be fine and become = when I multiply the other term by -1/3; however, by multiplying the 3/4 by -1/3 it makes them not equal:

What am I doing wrong?

Re: What am I doing wrong with this proof?

What happened to all of the summation signs??

You're trying to prove something about the entire summation , not the individual term .

Re: What am I doing wrong with this proof?

Re: What am I doing wrong with this proof?

Quote:

Originally Posted by

**topspin1617** What happened to all of the summation signs??

It was a magic sum sign :D

haha, stayed up too late last night I think.

Thanks.