Question: A sequence of terms is defined for n 1 by the recurrence relation un + 1 = ku n + 2, where k is

A sequence of terms is defined for n ≥ 1 by the recurrence relation un + 1 = kun + 2, where k is a constant. Given that u1 = 3,

a. Find an expression in terms of k for u2

b. Hence find an expression for u3 Given that u3 = 42:

c. Find the possible values of k.

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