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tmua.me Extreme Set C Paper 1 · Q2

Paper 1Sequences & series

A sequence of real numbers satisfies

un+1=un2−3(n=1,2,3,…).u_{n+1}=u_n^2-3\qquad(n=1,2,3,\ldots).

Its first three terms form an arithmetic progression with nonzero common difference.

What is the sum of all the distinct possible values of u4u_4?

A1111
B5353
C7474
D101101
E9595
F382382

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