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Yotta Paper 1 · Q5

Paper 1Algebra

Let un=2un−1+7un−2u_n=2u_{n-1}+7u_{n-2}, where u1=4u_1=4 and u2=12u_2=12. What does the value of ukuk−1\frac{u_k}{u_{k-1}} tend towards as kk tends towards infinity?

A22
B3\sqrt3
C5+1\sqrt5+1
D77
E99
F1+221+2\sqrt2
G−1+3-1+\sqrt3

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