Find the sixth term of the expansion (y1/2 + x1/3)n, if the binomial coefficient of the third term from the end is 45. Share with your friends Share 20 Rajat Sethi answered this Firstly,we have to find the power(n) of the binomial (y12+x13)nCoefficient of the third term from the end =45⇒Cn-2n=45⇒n!(n-(n-2))!(n-2)!=45⇒n!2!(n-2)!=45⇒n(n-1)2=45⇒n2-n-90=0Soving,n=-b±b2-4ac2a=1±1+3602=1±192n= 10 or n=-9 (not possible)So n=10So T6=10C5(y12)(10-5)(x13)5=10C5y52x53 75 View Full Answer