Liam is saving money to purchase a high-end camera. He saves 6.00 in week 1, 6.40 in week 2, 6.80 in week 3 and so on, continuing this pattern until he has enough total savings to buy the camera.
He decides to model his savings using either an arithmetic series or a geometric series. Using the information given,
(i) state with a reason whether an arithmetic series or a geometric series should be used,
(ii) write down an expression, in terms of nnn, for the amount, in pounds ( ), saved in week nnn.
Given that the camera Liam wants to buy costs 560, find the number of weeks it will take for Liam to save enough money to buy the camera.
308 exam-style questions on OCR (MEI) A Level Maths 1.6 Sequences and Series, covering 1.6.1 Binomial expansion for positive integer n, 1.6.2 Factorial and combinations notation, 1.6.3 Binomial expansion for rational n (A-level only), 1.6.4 Binomial expansion of (a + bx)^n via factoring (A-level only), 1.6.5 Binomial approximating polynomials (A-level only), 1.6.6 What a sequence is; finite and infinite (A-level only), 1.6.7 Generate a sequence by formula or recurrence (A-level only), 1.6.8 A series as a sum of terms (A-level only), 1.6.9 Sigma notation (A-level only), 1.6.10 Increasing, decreasing and periodic sequences (A-level only), 1.6.11 Convergent and divergent sequences (A-level only), 1.6.12 Arithmetic sequences and series (A-level only), 1.6.13 Standard formulae for arithmetic series (A-level only), 1.6.14 Geometric sequences and series (A-level only), 1.6.15 Standard formulae for geometric series (A-level only), 1.6.16 Sum to infinity of a geometric series (A-level only), and 1.6.17 Sequences and series in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.