Home
Class 12
MATHS
If a, b, c, d, e be 5 numbers such that ...

If a, b, c, d, e be 5 numbers such that a, b, c are in AP, b, c, d, are in GP & c, d, e are in HP then
(i) Prove that a,c,e are in GP.
(ii) Prove that `e=(2b-a)^2//a`.
(iii) If `a=2& e=18`, find all possible vlaues of b,c,d.

Promotional Banner

Similar Questions

Explore conceptually related problems

If a,b,c,d,e be 5 numbers such that a,b,c are in A.P; b,c,d are in GP & c,d,e are in HP then prove that a,c,e are in GP

If a,b,c,d,e be 5 numbers such that a,b,c are in A.P; b,c,d are in GP & c,d,e are in HP then prove that a,c,e are in GP

a, b, c are in A.P, b, c, d are in G.P and c, d, e are in H.P, then a, c, e are in

If a,b,c,d,e are five numbers such that a,b,c are in A.P., b,c,d are in G.P. and c,d, e ar in H.P. prove that a,c,e are in G.P.

If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in GP.

If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in GP.

If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in GP.

If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in GP.

If a, b, c are in A.P, b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a, c, e are in G.P.

If a, b, c are in A.P, b, c, d are in G.P. and 1/c , 1/d,1/e are in A. P . Prove that a, c, e are in G.P.