Consider the finite geometric series defined by the summation ∑i=0n−1ARi\sum_{i=0}^{n-1} A R^i∑i=0n−1ARi.
Prove that the sum Sn S_n\,Sn of this series is given by the formula
Sn=A(1−Rn)1−R S_n = \frac{A(1 - R^n)}{1 - R} Sn=1−RA(1−Rn)178 exam-style questions on Edexcel A Level Maths Sequences and Series, 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. Each one has a worked solution and a mark scheme showing where the marks go.