MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Between the numbers 3 and 96, four numbers are inserted to form a geometric progression.
(i) Determine the four inserted numbers.
(ii) Calculate the sum of all six terms of the progression.
(iii) Verify that the product of the inserted numbers equals 32×962 raised to an appropriate power and state that power.