Homework Answers
Given Recurrence Relation is ak = 6 ak-1 -
9 ak-2 for k 
2
and
initial conditions are a0 = 1 a1 = 3.
Here a2 = 6 a1 - 9 a0 = 6 * 3 - 9 * 1 = 18 - 9 = 9.
Here a3 = 6 a2 - 9 a1 = 6 * 9 - 9 * 3 = 54 - 27 = 27.
Here a4 = 6 a3 - 9 a2 = 6 * 27 - 9 * 9 = 162 - 81 = 81.
Here a0 = 1 = 30
a1 = 3 = 31
a2 = 9 = 32
a3 = 27 = 33
a4 = 81 = 34
In the same way an = 3n.
Hence explicit formula for the sequence is an = 3n.
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