Brad is training to cycle long distances. In Brad's first cycle he travels 25 km. In Brad's second cycle he travels 30 km. Brad believes the distance of his cycles can be modelled by a geometric progression.
Brad sets himself a target of cycling 33 km show that this model predicts Brad will achieve this on his third cycle.
After six months Brad has travelled a total of 91 km. Use this model to find how many cycles Brad has completed.
326 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.