Thread: Algebraic Manipulation

I have a math problem where the expression:



is changed to:



but I am having difficulty understanding how this is achieved.
Can anyone explain how this is done?

Thanks

Originally Posted by wmassey

I have a math problem where the expression:



is changed to:



but I am having difficulty understanding how this is achieved.
Can anyone explain how this is done?

Thanks

In the second expression the is one greater than it is in the first one because it starts at 1 (not 0) and goes to n (not n-1). You could account for this by subtracting one from the when changing the limits of the summation:




Does that make any sense?

Yea I understand it now - thanks pflo!