A sequence a1,a2,a3,… a_1, a_2, a_3, \dots\,a1,a2,a3,… is defined by
a1=1,a2=6an=an−1+an−2,n≥3 \begin{aligned}a_1 &= 1, a_2 = 6 \\a_n &= a_{n-1} + a_{n-2}, \quad n \geq 3\end{aligned} a1an=1,a2=6=an−1+an−2,n≥3Find a3,a4 a_3, a_4\,a3,a4 and a5a_5a5.
178 exam-style questions on Edexcel A Level Maths Sequences and Series, 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. Each one has a worked solution and a mark scheme showing where the marks go.