The sum of three positive numbers is and the difference between the largest and the…
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
The sum of three positive numbers is 45 and the difference between the largest and the smallest of them is 12. The three numbers are known to be in arithmetic progression.
(a) Form two equations in the three numbers using the given information.
(b) Solve the equations to obtain the three numbers.
(c) Find their common difference and verify that the numbers are indeed in arithmetic progression.