A student decides to increase the number of mathematics questions he practises each day
MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series
Problem
A student decides to increase the number of mathematics questions he practises each day. On the first day he solves 12 questions, and on every following day he solves 3 more questions than the preceding day.
(i) Which type of sequence is formed by the daily numbers of questions?
(ii) How many questions will he solve on the 30th day?
(iii) Calculate the total number of questions he solves during the first 30 days.
(iv) How many more questions are solved during the last 15 days (days 16 to 30) than during the first 15 days?