Answer :

Given:


a,b,c are in AP


2b = a + c …… (i)


b,c,d are in GP;


c2 = bd …… (ii)


1/c, 1/d, 1/e are in AP;



…(iii)


From the above substituting for b & d in (ii) above,



c(c + e) = (a + c) e


c2 + ce = ae + ce


c2 = ae


Thus a, c, e are in GP


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

If AM and GM of tRD Sharma - Mathematics

If AM and GM of rRD Sharma - Mathematics

Write the quadratRS Aggarwal - Mathematics

<span lang="EN-USRD Sharma - Mathematics

Find the two numbRD Sharma - Mathematics

Insert 5 geometriRD Sharma - Mathematics

If a, b, c are inRD Sharma - Mathematics

Prove that the prRD Sharma - Mathematics

Construct a quadrRD Sharma - Mathematics

If a, b, c are inRD Sharma - Mathematics