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.
200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.