`(1)/(1xx2)""^(25)C_(0)+(1)/(2xx3)""^(25)C_(1)+(1)/(3xx4)""^(25)C_(2)+…+(1)/(26xx27)""^(25)C_(25)` is -

The sum of the series 1/(1x2) *(25)C0+1/(2x3) *25C_1+1/(3x4) *25C2+....+1/(26x27)* 25C_25

The coefficient of x^(24) in ((25C_(1))/(25C_(0))-x)(x-2^(2)(25C_(2))/(25C_(1))(x-3^(2)(25C_(3))/(25C_(2)))(x-4^(2)(25C_(4))/(25C_(3)))......,(x-25^(2)(25C_(25))/(25C_(24))) is equal to 2925

Evaluate the following : (i) 1+.^(20)C_(1)+^(20)C_(2)+^(20)C_(3)+....+^(20)C_(19)+^(20)C_(20) (ii) ^(10)C_(1)+^(10)C_(2)+^(10)C_(3)+.....+^(10)C_(9) (iii)^(25)C_(1)+^(25)C_(3)+^(25)C_(5)+.....+^(25)C_(25) (iv) ^(18)C_(2)+^(18)C_(4)+^(18)C_(4)+^(18)C_(6)+....+^(18)C_(18)

Evaluate the following : (i) 1+.^(20)C_(1)+^(20)C_(2)+^(20)C_(3)+....+^(20)C_(19)+^(20)C_(20) (ii) ^(10)C_(1)+^(10)C_(2)+^(10)C_(3)+.....+^(10)C_(9) (iii)^(25)C_(1)+^(25)C_(3)+^(25)C_(5)+.....+^(25)C_(25) (iv) ^(18)C_(2)+^(18)C_(4)+^(18)C_(4)+^(18)C_(6)+....+^(18)C_(18)

What is the value of ((3)/(4) div (9)/(32) +(4)/(3) xx (2)/(3) " of "(27)/(16))/((1)/(2) xx ((8)/(2) -2) div (4)/(9) +((1)/(3)+(1)/(6))) ? (a) (10)/(3) (b) (13)/(2) (c) (25)/(2) (d) (31)/(2)

((3)^(-5)xx5^(-2)xx27^(2/3))/(6^2xx25^(1/2)xx49^(-1/2))

Simplify: ((6.25)^((1)/(2))xx(0.0144)^((1)/(2))+1)/((0.027)^((1)/(3))xx(81)^((1)/(4)))

Evaluate : 5^(-4)xx(125)^((5)/(3))+(25)^(-(1)/(2))

Simplify : (3^(-3)xx6^(2)xx sqrt(98))/(5^(2)xx((1)/(25))^((1)/(3))xx(15)^(-(4)/(3))xx3^((1)/(3)))