Just try to simplify .
I came up with
Now just try to expand the sum, you'll notice something.
I will give you few tips that may help you:
This can be found by using the binomial theorem at x=1.
I guess you need to use the binomial theorem somehow.
You can also proof by mathematical induction.
Also you may find useful these identities:
This task seems to me like some puzzle and tricky.
Try something and post it here.
Regards.
I saidTechnically, nobody posted me the answer
Because I said
Then Po0int said:i got the answer. Po0int is awesome!
I will give you few tips that may help you:
This can be found by using the binomial theorem at x=1.
I guess you need to use the binomial theorem somehow.
You can also proof by mathematical induction.
Also you may find useful these identities:
This task seems to me like some puzzle and tricky.
Try something and post it here.
P/S: Prove It, I'm sorry but I just want somebody can show their work for this tricky problem. I found it after po0int's hint. If anybody needs the answer, I also can show my work.
@simplependulum you should not do that. He should solve that by himself.
By math. induction you can prove this in 5 min.
At least he should try to do something.
Also there is a better solution and faster which gaves you:
Then
Regards.
I generally try to allow people to solve their own problems, but I'm not against posting full solutions, following the reasoning of this post (scroll down to the "rant"). So, I don't think simplependulum should be scolded, although I see where you're coming from, the OP hasn't put any effort into typing out work.