The third term of an arithmetic series is 10 and the sum of the first nine terms of the series is 153.
Find the first term of the series.
Find the common difference.
Find the highest value of n n\,n for which the sum of the first n n\,n terms is less than 300.
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.