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

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