I have been searching the web for the past three days but can't find the algebraic or inductive proof anywhere. Please help me, i have no idea on how to prove these.
Note: if you are not gonna solve it, then don't comment.
THANKS
I have been searching the web for the past three days but can't find the algebraic or inductive proof anywhere. Please help me, i have no idea on how to prove these.
Note: if you are not gonna solve it, then don't comment.
THANKS
The purpose for this forum is to provide help so that people can learn the material on their own. I know this is not the response you wanted. But, I am willing to help you solve these problems. I just wanted to let you know that statement is not really appropriate for this forum.
What is Formula (8)? I assume it is the definition of the general binomial coefficient. By definition:
For the second equation, we can use Pascal's Rule: .
Proof by induction: , so the formula holds when . Assume the formula holds for all positive integers up to .
So, by the principle of mathematical induction, the formula holds for all positive integers .
thanks a lot.....I know that forums are to help people not do their homework for them.....but it's just that I have been looking everywhere....youtube lectures, about a dozen pdfs and ppts but I just could not find these two proofs, there were three others but I found them. Anyways thank you so much!!!
Really appreciate your help. Thanks.