A high-tech vertical farm uses modular plant trays to grow leafy greens. On the first day of the season, the farm operates with 100 trays. Each day, the farm increases the number of trays in operation by 16.
Every tray produces a consistent daily yield of 0.8 kg of leafy greens.
Write down an expression for the number of trays the farm will use on its nnnth day of operation.
The farm's target is to produce at least 400 kg of leafy greens in a single day. Determine the minimum number of days of operation required to reach this target.
An agricultural analyst claims that by the time the farm reaches its target day, it will have produced a collective total yield of over 6,200 kg of leafy greens across all days of operation. Determine whether the analyst's prediction is correct.
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.