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.
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.