+3 votes
106 views
in Mathematics by (64.3k points)

Show that the products of the corresponding terms of the sequences 

a, ar, ar2,…arn – 1 and A, AR, AR2, … ARn–1 form a G.P, and find the common ratio.

1 Answer

+5 votes
by (13.5k points)
selected by
 
Best answer

Solution:

It has to be proved that the sequence, aAarARar2AR2, …arn–1ARn–1, forms a G.P.

fraction numerator S e c o n d space t e r m over denominator F i r s t space t e r m end fraction space equals space fraction numerator a r A R over denominator a A end fraction equals r Rfraction numerator T h i r d space t e r m over denominator S e c o n d space t e r m end fraction space equals space fraction numerator a r squared A R squared over denominator a r A R end fraction equals r R

Thus, the above sequence forms a G.P. and the common ratio is rR.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...