If p^(th),q^(th) and r^(th) terms of bot...

If `p^(th),q^(th)` and `r^(th)` terms of both an A.P. and a G.P. be respectively `a,b` and `c`, then `((b)/(c))^(a)((c)/(a))^(b)((a)/(b))^(c)` is:

Similar Questions

Explore conceptually related problems

If the m^(th),n^(th)andp^(th) terms of an A.P. and G.P. be equal and be respectively x,y,z, then

The p^(t h),q^(t h) and r^(t h) terms of an A.P. are a, b, c, respectively. Show that (q-r)a+(r-p)b+(p-q)c=0 .

If the 4^(th),7^(th) and 10^(th) terms of a G.P. are a, b and c respectively, prove that : b^(2)=ac

If p^(t h),\ q^(t h),\ a n d\ r^(t h) terms of an A.P. and G.P. are both a ,\ b\ a n d\ c respectively show that a^(b-c)b^(c-a)c^(a-b)=1.

If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, then show that (a-b)r+(b-c)p+(c-a)q=0

The (p+q)th term and (p-q)th terms of a G.P. are a and b respectively. Find the pth term.

If pth,qth and rth terms of an A.P. are a, b, c respectively, then show that (i) a(q-r)+b(r-p)+c(p-q)=0

If p^(th), q^(th) and r^(th) terms of G.P. are x,y,z respectively then write the value of x^(q-r) y^(r-p) z^(p-q).

If the p^(t h) , q^(t h) and r^(t h) terms of a GP are a, b and c, respectively. Prove that a^(q-r)b^(r-p)c^(p-q)=1 .