James decides to learn a new language. He learns 5 new words on the first day, 8 new words on the second day, 11 new words on the third day, and so on for 50 days. The number of words he learns each day forms an arithmetic sequence.
Find the number of words he learns on day 50.
Calculate the total number of words he learns over the 50 day period.
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.