Hi, has anyone done these questions from the Fitzpatrick 3U book? Ex 29(a)?
Q50
by considering the coefficinets of
1+(1+x)+(1+x)^2+...+(1+x)^n,
prove that [nCr]+[(n-1)Cr]+[(n-2)Cr]+...+[rCr] = [(n+1)C(r+1)]
similarly consdering
x^n+[x^(n-1)](1+x)+[x^(n-2)](1+x)^2+...+(1+x)^n,
find...