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.
Practise Edexcel A Level Maths Sequences and Series with exam-style questions for A Level Maths. 156 questions covering 3.1 Arithmetic Sequences, 3.2 Arithmetic Series, 3.3 Geometric Sequences, 3.4 Geometric Series, 3.5 Sum to Infinity, 3.6 Sigma Notation, 3.7 Recurrence Relations, and 3.8 Modelling with Series, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
