An arithmetic series has first term 820 and 5th term 540.
Show that the 15th term of the series is negative.
The sum of the first n n\,n terms is denoted by SSS. Find the greatest value of S S\,S as n n\,n varies.
178 exam-style questions on Edexcel A Level Maths Sequences and Series, 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. Each one has a worked solution and a mark scheme showing where the marks go.