Middle Terms || Sum OF Coefficient || Sum OF Combinatorial Coefficient || Theory OF Numerically Greatest Term

Middle Terms || Sum OF Coefficient and Sum OF Combinatorial Coefficient and Theory OF Numerically Greatest Term

The combinatorial coefficient C(n, r) is equal to

Theory OF Sum OF First n Terms OF A.P

The combinatorial coefficients ""^(n – 1)C_(p) denotes

Middle term || Ratio OF terms || Total no. OF terms || Greatest coefficient || (r+1)th term from beginning and End and Illustration

In the expansion of [2-2x+x^(2)]^(9)(A) Number of distinct terms is 10(C) sum of coefficients is 1(B) Number of distinct terms is 55 (D) coefficient of x^(4) is 97

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

Show that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of two middle terms in the expansion of (1+x)^(2n-1)

In like terms, the numerical coefficients should also be the same.

In the expansion of (3^(-(x)/(4))+3^((5x)/(4)))^(n) the sum of the binomial coefficients is 256 and four xx the term with greatest binomial coefficient exceeds the square of the third coefficient then find 4x.