Four numbers are inserted between 2 and 162 so that the entire sequence of six…
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Four numbers are inserted between 2 and 162 so that the entire sequence of six numbers is a geometric progression.
(i) Find the four inserted numbers.
(ii) Calculate the sum of all six terms of the progression.
(iii) If every term of this progression is multiplied by 3, determine the common ratio of the new progression thus formed.