Is the sequence `2, 2^(2)2^(2^(2))2^(2^(2^(2))),.......`is a G.P. ?

Write the n^(th) term of the sequence 3/(1^(2)2^(2)),5/(2^(2)3^(2)),7/(3^(2)4^(2)),... as a difference of two terms.

If the normals at P(theta) and Q(pi/2+theta) to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 meet the major axis at Ga n dg, respectively, then P G^2+Qg^2= b^2(1-e^2)(2-e)^2 a^2(e^4-e^2+2) a^2(1+e^2)(2+e^2) b^2(1+e^2)(2+e^2)

The equilibrium constant for the reaction 2SO_(3(g))hArr2SO_(2(g))+O_(2(g)) is 0.15 at 900 K. Calculate the equilibrium constant for the reaction 2SO_(2(g))+O_(2(g))hArr2SO_(3(g)) at the same temperature.

If the equilibrium constant for N_(2(g))+O_(2(g))hArr2NO_((g)) is K, the equilibrium constant for 1/2N_(2(g))+1/2O_(2(g))hArrNO_((g)) will be