MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
A student decides to improve her physical fitness. She performs 30 push-ups on the first day and increases the count by 4 push-ups each successive day. Assume the counts form an arithmetic progression.
(i) How many push-ups will she perform on the 25th day?
(ii) On which day will she first perform at least 150 push-ups? Show your working clearly.