Question

Prove that coefficients of the middle termin expansion (1+x)2n is equal to the sum of the coefficients of the middle terms in the expansion of (1+x)2n-1

Find the real value(s) of k if the coefficient of the miidle term in the expansion of (root over x + k/x2)8 is 70.

Answer 1

1 1. 4. , 7. 5 x x y x. -. -. , etc., are all binomial expressions. 8.1.2 Binomial theorem. If a and b are real numbers and n is a positive integer, then. (a + b)n =nC0 an ... last term. 3. In any term the sum of the indices (exponents) of 'a' and 'b' is equal to n (i.e., the power of the binomial). 4. The coefficients in the expansion follow a ...