A bookstore arranges its novels on a set of 30 shelves in such a way that the number…
MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series
Problem
A bookstore arranges its novels on a set of 30 shelves in such a way that the number of novels on successive shelves forms an arithmetic progression. The first shelf has 18 novels and the second shelf has 21 novels.
(i) State the first term and the common difference of this progression.
(ii) How many novels are placed on the 30th shelf?
(iii) Find the total number of novels kept on all the 30 shelves together.