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}200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.