If the pth, qth and rth terms of a G.P. are a, b, c respectively, prove that aq-r . br-p . cp-q = 1.
Let x be the first term and R the common ratio.
Tp = x Rp-1 = a ………(1)
Tq = x Rq-1 = b ……….(2)
Tr = x Rr-1 = c ………(3)
aq-r = = ...........(1)
br-p = ………….(2)
cp-q = ……….(3)
L.H.S. = (1) x (2) x (3)
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
PREVIOUS Find four numbers forming a Geometric progression in which the third term is greater than the first by 9, and the second term is greater than the fourth by 18. NEXT If the first and the nth terms of a G.P are a and b respectively and if p is the product of the first n terms, prove that P2 = (ab)n.
Interactive quiz on inequalities involving AM and GM45 mins
Check Your progress Part 2| Interactive Quiz: Sequence & Series47 mins
Sequence & Series (Lecture 1)56 mins
Sequence & Series (Lecture 5)42 mins
Sequence & Series (Lecture 7)37 mins
Use of sigma in finding sum42 mins
Sequence & Series (Lecture 6)42 mins
Trigonometric Series45 mins
Sequence & Series (Lecture 8)35 mins
Check Your progress Part 3| Interactive Quiz: Sequence & Series46 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation