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Question 73

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} a1​an​​=1,a2​=6=an−1​+an−2​,n≥3​

Find a3,a4 a_3, a_4\,a3​,a4​ and a5a_5a5​.

[3]

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