The sixth term of an arithmetic series is 12. The sum of the first 16 terms of the series is SnS_nSn and S16=152S_{16} = 152S16=152. Find the first term and common difference of the series.
A second arithmetic series has first term −4-4−4 and common difference 12\frac{1}{2}21. The sum of the first nnn terms of this series is TnT_nTn. Find the value of nnn such that Tn=SnT_n = S_nTn=Sn, where n>0n > 0n>0.
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.