A student is learning new vocabulary words each day to prepare for a competition. On the first day, the student learns 40 words. The number of new words learned increases by 5 each day until the student is learning 100 words per day. The student then continues to learn 100 new words every day.
On which day does the student first reach the target of learning 100 words per day?
Find the total number of words learned by the student in the first 30 days.
Practise Edexcel A Level Maths Sequences and Series with exam-style questions for A Level Maths. 100 questions covering 3.1 Arithmetic Sequences, 3.2 Arithmetic Series, 3.3 Geometric Sequences, 3.4 Geometric Series, 3.5 Sum to Infinity, 3.6 Sigma Notation, 3.7 Recurrence Relations, and 3.8 Modelling with Series, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.