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Grade 12Algebra

(2n+1)C0 + (2n+1)C1 + (2n+1)C2 +........+ (2n+1)Cn = 2x
What is x?

Profile image of Aayushi
9 Years agoGrade 12
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2 Answers

Profile image of kanithi premsai
9 Years ago
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
Profile image of Akshat Agarwal
9 Years ago
Objectively u can put n=13C0 + 3C1= 1+3=4 x=2Similarly you can crosscheck the answer by putting n=2,3,4.........