[(1)/(2n)+(1)/(3y)=2],[(1)/(34)+(1)/(2y)=(13)/(6)]

If y=x^(2)e^(x) ,show that y_(n)=(1)/(2)n(n-1)y_(2)-n(n-2)y_(1)+(1)/(2)(n-1)(n-2)}

If |(x^(n),x^(n+2),x^(n+3)),(y^(n),y^(n+2),y^(n+3)),(z^(n),z^(n+2),z^(n+3))| = (x -y) (y -z) (z -x) ((1)/(x) + (1)/(y) + (1)/(z)) , then n equals

If (1)/(n+1)+(1)/(2(n+1)^(2))+(1)/(3(n+1)^(3))+….= lambda((1)/(n)-(1)/(2n^(2))+(1)/(3n^(3))-……) then lambda=

If (1)/(n+1)+(1)/(2(n+1)^(2))+(1)/(3(n+1)^(3))+….= lambda((1)/(n)-(1)/(2n^(2))+(1)/(3n^(3))-……) then lambda=

If |(x^(n),x^(n+2),x^(n+3)),(y^(n),y^(n+2),y^(n+3)),(z^(n),z^(n+2),z^(n+3))|=(x-y)(y-z)(z-x)((1)/(x)+(1)/(y)+(1)/(z)) then value of n is a)-1 b)-2 c)1 d)2

If lta_(n)gtandltb_(n)gt be two sequences given by a_(n)=(x)^((1)/(2^(n)))+(y)^((1)/(2^(n))) and b_(n)=(x)^((1)/(2^(n))) -(y)^((1)/(2^n)) for all ninN . Then, a_(1)a_(2)a_(3) . . . . .a_(n) is equal to

If lta_(n)gtandltb_(n)gt be two sequences given by a_(n)=(x)^((1)/(2^(n)))+(y)^((1)/(2^(n))) and b_(n)=(x)^((1)/(2^(n))) -(y)^((1)/(2^n)) for all ninN . Then, a_(1)a_(2)a_(3) . . . . .a_(n) is equal to

Find the sum of series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1))^(2)+5((2n+1)/(2n-1))^(3)+

If H_(n)=1+(1)/(2)+(1)/(3)+...+(1)/(n), then value of 1+(3)/(2)+(5)/(3)+...+(2n-1)/(n) is

The equation of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3)a n d(x-2)/1=(y-1)/(-3)=(z+3)/2dot Statement 1: the given lines are coplanar. Statement 2: The equations 2x_1-y_1=1,x_1+3y_1=4a n d3x-1+2y_1=5 are consistent.