A sequence u1,u2,u3,… u_1, u_2, u_3, \dots\,u1,u2,u3,… is defined by
u1=3,u2=5un=un−1+un−2,n≥3 \begin{aligned}u_1 &= 3, u_2 = 5 \\u_n &= u_{n-1} + u_{n-2}, \quad n \geq 3\end{aligned} u1un=3,u2=5=un−1+un−2,n≥3Find u3,u4 u_3, u_4\,u3,u4 and u5u_5u5.
35 exam-style questions on Edexcel A Level Maths 3.7 Recurrence Relations. Each one has a worked solution and a mark scheme showing where the marks go.