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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 150

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} u1​un​​=3,u2​=5=un−1​+un−2​,n≥3​

Find u3,u4 u_3, u_4\,u3​,u4​ and u5u_5u5​.

[3]
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3 Unit A2 1: Pure Mathematics (A-level only) Questions

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