MathDB

The largest term in the binomial expansion of

(1 + \tfrac{1}{2})^{31}

is of the form

\frac{a}{b}

, where

a

and

b

are relatively prime positive integers. What is the value of

b

? As an example of a binomial expansion, the binomial expansion of an expression of the form

(x + y)^3

is the sum of four terms

x^3 + 3x^2y + 3xy^2 + y^3.

Problem Statement