[" 14."*" The sum of "(x+2)^(n-1)+(x+2)^(n-2)(x+1)+(x+2)^(n-3)(x+1)^(2)+......],[" (a) "(x+2)^(n-2)" (n-i) "n" ."]

The sum of : (x+ 2)^(n-1) + ( x+2) ^(n-2) (x+1) + ( x+2)^(n-3) (x+1)^(2) + "......." + ( x+ 1)^(n-1) equals :

The sum of (x+2)^(n-1)+ (x+2)^(n-2) (x+1) + (x+2)^(n-3) (x+1)^(2) + cdots + (x+1)^(n-1) is equal to

Find the sum (x+2)^(n-1)+(x+2)^(n-2)(x+1)^+(x+2)^(n-3)(x+1)^2++(x+1)^(n-1)

n + (n-1) x + (n-2) x ^ (2) + ....... + 2x ^ (n-2) + x ^ (n-1)

Find the sum (x+2)^(n-1)+(x+2)^(n-2)(x+1)^+(x+2)^(n-3)(x+1)^2++(x+1)^(n-1) (x+2)^(n-2)-(x+1)^n b. (x+2)^(n-2)-(x+1)^(n-1) c. (x+2)^n-(x+1)^n d. none of these

Find the sum (x+2)^(n-1)+(x+2)^(n-2)(x+1)^(+)(x+2)^(n-3)(x+1)^(2)++(x+1)^(n)(x+2)^(n-2)-(x+1)^(n) b.(x+2)^(n-2)-(x+1)^(n-1) c.(x+2)^(n)-(x+1)^(n) d.none of these

Coefficient of x^(n-1) in the expansion of.(x+3)^(n)+(x+3)^(n-1)(x+2)+(x+3)^(n-2)(x+2)^(2)+.........+(x+2)^(n) is :

Find the value of (1+x)^(n)+^(n)C_(1)(1+x)^(n-1).(1-x)+^(n)C_(2)(1+x)^(n-2)(1-x)^(2)+.....+(1-x)^(n)

Coefficient of x(n^(2)+n-14)/(2) in,(x-1)(x^(2)-2)(x^(3)-3)(x^(4)-4)......(x^(n)-n),(n>=8) is