The Fifth, Eight and Eleventh Terms of a Geometric Progression Are P, Q and R Respectively. Show that : Q2 = Pr. - Mathematics
The fifth, eight and eleventh terms of a geometric progression are p, q and r respectively. show that : q2 = pr.
Let the first term of the G.P. be a and its common ratio be r.
5th term = t5 = p
⇒ ar4 = p
8th term = t8 = q
⇒ ar7 = q
11th term = t11 = r
⇒ ar10 = r
pr = ar4 x ar10 = a2 x r14 = (a x r7)2 = q2
⇒ q2 = pr
Concept: Simple Applications - Geometric Progression
Is there an error in this question or solution?
why create a profile on Shaalaa.com?
1. Inform you about time table of exam.
2. Inform you about new question papers.
3. New video tutorials information.