Grade 12Algebra
The value of sigma r=1 to 10 r*nCr/nCr-1
The value of sigma r=1 to 10 r*nCr/nCr-1
3 Answers
Arun Kumar
Approved Tutor Answer12 Years agoHello Student,
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
S Sharma
Sir,
The 4th step should be..
10n-45
As we can see that in the last step
There is 5(2n-9)
$o please look in the issue
If I'm correct or not....
Well thank you for the answer sir
I'm very well impressed with you...
Kushagra Madhukar
Dear student,
Please find the solution to your problem.
We know, nCr/nCr-1 = (n – r + 1)/r
Hence, ∑ r. nCr/nCr-1 = ∑ (n – r + 1) [from r = 1 to r = 10]
= ∑ (n + 1) – ∑ r
= 10(n + 1) – 10(10 + 1)/2
= 10n + 10 – 55
= 10n – 45
= 5(2n – 9)
Thanks and regards,
Kushagra
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