MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
Consider the two non-zero algebraic numbers 5x and x40, where x=0. Three numbers are to be inserted between them so that the complete set of five numbers is in geometric progression.
(i) Determine the three numbers to be inserted in terms of x.
(ii) Show that, for the five-term progression thus obtained, the product of the first and the last term equals the product of the second and the fourth term.