If R = `(a ^ 3 + 1) / (a − 1)` and S = `(a^ 2 − a + 1) / ( a + 1)` , then R ÷ S is

Let A = {1, 2, 3} and R = {(1, 1), (2,2), (1, 2), (2, 1), (1,3)} then R is

If S_(n) = sum_(r=1)^(n) (r )/(1.3.5.7"……"(2r+1)) , then

If t=(1)/(r)+(1)/(s) , then what is (1)/(t) in terms of r and s?

If p+r=mq and (1)/(q)+(1)/(s)=(m)/(r ), then prove that : p:q=r:s .

If R is a relation on the set A={1,2,3} given by R={(1,1),(1,2),(2,1)} , then R is

If S=sum_(r=1)^(80)(r)/((r^4+r^2+1)) , then the value of (6481s)/(1000) is

If (1)/(3)r+(1)/(4)s=(5)/(6) , what is the value of 4r+3s?

If s_n=sum_(r < s) (1/(nC_r)+1/(nC_s)) and t_n=sum_(r < s)(r/(nC_r)+s/(nC_s)), then t_n/s_n=

If sum_(r=15)^29(cos(rpi/2+theta)=S_1 and sum_(r=15)^29(sin(rpi/2+theta)=S_2 , then S_1/S_2 equals

T_(n) =sum _( r =2n )^(3n-1) (r)/(r ^(2) +n ^(2)), S_(n) = sum _(r =2n+1)^(3n) (r )/(r ^(2) + n ^(2)), then AA n in {1,2,3...}: