(2n+1)C0 + (2n+1)C1 + (2n+1)C2 +........+ (2n+1)Cn = 2x What is x?
(2n+1)C0 + (2n+1)C1 + (2n+1)C2 +........+ (2n+1)Cn = 2x
What is x?
Aayushi , 9 Years ago
Grade 12
Algebra> (2n+1) C 0 + (2n+1) C 1 + (2n+1) C 2 +......
2 Answers
kanithi premsai
We know that, Nco+Nc1+......+Ncn=2 to the power N
Therefore the above sum of coefficients is 2to the power of 2n+1
Therefore,
2x=2 to the power of 2n+1
: x= 2 to the power of 2n+1/2
: x=2 to the power of 2n
Therefore the value is 2 power 2n
Akshat Agarwal
Objectively u can put n=13C0 + 3C1= 1+3=4 x=2Similarly you can crosscheck the answer by putting n=2,3,4.........
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