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Q.

If C0, C1, C2, are binomial coefficients in the expansion r=0nCrxr, then value of the expression (series) 2C01+3C12+4C23+5C34+.. is

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a

2n+1n+1

b

2n1n+1

c

2n(n+3)1n+1

d

2n(n+2)1n+1

answer is C.

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Detailed Solution

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r=0n(r+2)Crr+1=r=0n1+1r+1Cr=2n+1n+1r=0nn+1Cr+1=2n+2n+11n+1

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