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If $C_{0}, C_{1}, C_{2}, C_{3}, \dots, C_{n}$ are the binomial coe11 ictenis mt e expans of $\frac{C_{0}}{1} + \frac{C_{2}}{3} + \frac{C_{4}}{5} + \frac{C_{6}}{7} + \dots$ has equal to

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2n+1n+1

2n+1−1n+1

2nn+1

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Correct option is C

From illustration 14 and 15, we haveand C01+C12+C23+…+Cnn+1=2n+1−1n+1C01−C12+C23−…+(−1)nCnn+1=1n+1Adding these two, we get 2C01+C23+C45+…….=2n+1n+1C01+C23+C45+…=2nn+1

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If C0,C1,C2,C3,…,Cn are the binomial coe11 ictenis mt e expans of C01+C23+C45+C67+… has equal to

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If $C_{0}, C_{1}, C_{2}, C_{3}, \dots, C_{n}$ are the binomial coe11 ictenis mt e expans of $\frac{C_{0}}{1} + \frac{C_{2}}{3} + \frac{C_{4}}{5} + \frac{C_{6}}{7} + \dots$ has equal to