An arithmetic progression has first term a a\,a and common difference bbb.
Prove that the sum of the first N N\,N terms of the progression is
SN=12N{2a+(N−1)b} S_N = \frac{1}{2}N\{2a + (N-1)b\} SN=21N{2a+(N−1)b}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.