The first three terms of an arithmetic series are (k−1)(k-1)(k−1), (2k+1)(2k+1)(2k+1) and (4k−5)(4k-5)(4k−5) respectively.
Find the value of the constant kkk.
Find the sum of the first 15 terms of the series.
308 exam-style questions on AQA A Level Maths 1.7 D: Sequences and series, covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.