The fifth term of an arithmetic series is 21 and the sum of the first ten terms of the series is 245.
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 1000.
308 exam-style questions on AQA A Level Maths 1.7 D: Sequences and series, covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.