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Home » » Courses » Mathematics » Advanced Mathematics 3205 (delisted) » Unit 01 » Set 01 ILO 03 » Solution
Find the sequences of differences as required.
From the lesson we know that the third-level difference is 6 times the coefficient of the cubic term ; we have
Using
as
the general form for a cubic sequence, create three equations using the first
three terms of the sequence and 2 for the a value.
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Write as a matrix equation and solve using technology:
Substituting these values into the general form, we have the required equation
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