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Grade: 12

                        

Prove that: 3C0-8C1+13C2-18C3 +…. upto n+1 terms = 0

6 years ago

Answers : (3)

Rinkoo Gupta
askIITians Faculty
80 Points
							sigma(r=0 to n) (-1)^r (5r+1)Cr
=5sigma(-1)^rCr+sigm(-1)^rCr
=5sigma(-1)^r.r.(n/r).(n-1)Cr+sigm(-1)^r.Cr
=5nsigma(-1)^r.(n-1)Cr+sigma(-1)^rCr
=5n(0)+0
=0
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

6 years ago
Pushkar Aditya
71 Points
							Hello,
Rinkoo Gupta
I would really appreciate that you have replied so soon. 
But could you please explain me how sigma(-1)^r Cr = 0 How ? 
As far as I know.. Sigma Cr is equal to 2^n.

Thanks 
Siddharth Singh
						
6 years ago
Siddharth Singh
22 Points
							Hello, 
Thank you for answering so soon. 
I really appreciate that.. 
But I would like to ask you.. 
How Sigma(-1)^r Cr=0
						
6 years ago
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