Question: A sequence of numbers is defined, for n 1, by the recurrence relation u n+1 = ku n 4, where k is a

A sequence of numbers is defined, for n ≽ 1, by the recurrence relation un+1 = kun – 4, where k is a constant. Given that u1 = 2:

a. Find expressions, in terms of k, for u2 and u3.

b. Given also that u3 = 26, use algebra to find the possible values of k.

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