An environmental initiative requires a company to make monthly carbon-offset payments. The payment in the first month is P1=£4,250P_1 = £4,250P1=£4,250, and the payment in the second month is P2=£5,375P_2 = £5,375P2=£5,375. The monthly payments PnP_nPn follow an arithmetic progression. The final payment made is £54,875£54,875£54,875.
Find
the total number of months for which the company made payments,
the total sum of all carbon-offset payments made over the duration of the initiative.
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.
