A sequence y1,y2,y3,… y_1, y_2, y_3, \dots\,y1,y2,y3,… is defined by
y1=cyn=5yn−1−2,n≥2 \begin{aligned}y_1 &= c \\y_n &= 5y_{n-1} - 2, \quad n \geq 2\end{aligned} y1yn=c=5yn−1−2,n≥2Find an expression for y2 y_2\,y2 in terms of ccc.
Show that y3=25c−12y_3 = 25c - 12y3=25c−12.
Find ∑r=14yr\sum_{r=1}^4 y_r∑r=14yr in terms of ccc.
Practise AQA A Level Maths 1.7 D: Sequences and series with exam-style questions for A Level Maths. 267 questions 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), matched to the AQA A Level Maths (7357) 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.
