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If x ,y ,a n dz are pth, qth, and rth t...

If `x ,y ,a n dz` are pth, qth, and rth terms, respectively, of an A.P. nd also of a G.P., then `x^(y-z)y^(z-x)z^(x-y)` is equal to a.`x y z` b.` 0` c. `1 `d. none of these

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If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. nd also of a G.P., then x^(y-z)y^(z-x)z^(x-y) is equal to x y z b. 0 c. 1 d. none of these

If the m th, n th and p th terms of an AP and GP are equal and are x , y , z , then prove that x^(y-z) . y^(z-x) z^(x-y)=1

If the pth, th, rth terms of a G.P. are x, y, z respectively, prove that x^(q-r).y^(r-p) .z^(p-q) = 1 .

If the 4th, 10th and 16th terms of a G.P. are x,y and z respectively, then x,y,z are in

If the 4th, 10th and 16th terms of a G.P. are x, y, and z respectively. Prove that x, y, z are in G.P.

If a ,b ,c ,d are in A.P. and x , y , z are in G.P., then show that x^(b-c)doty^(c-a)dotz^(a-b)=1.

If a ,b ,c ,d are in A.P. and x , y , z are in G.P., then show that x^(b-c)doty^(c-a)dotz^(a-b)=1.

If a, b, c are three consecutive terms of an A.P. and x,y,z are three consecutive terms of a G.P., then prove that x^(b-c) . y^(c-a).z^(a-b)=1

If x ,ya n dz are in A.P., a x ,b y ,a n dc z in G.P. and a ,b ,c in H.P. then prove that x/z+z/x=a/c+c/a .

If x, y, z are in A.P.; ax, by, cz are in GP. and 1/a, 1/b, 1/c are in A.P., then x/z+z/x is equal to

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
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  3. If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P....

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