The sequence ao, ɑ1, ɑ2, . . . is given recursively by ak = ak-1 + 6k, k>1 and ao = 6 . (a) Use iteration to guess an explicit formula for the sequence. (b) Use mathematical induction to verify the correctness of the formula you obtained in part (a).

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Chapter2: Second-order Linear Odes
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The sequence ao, ɑ1, ɑ2, . . . is given recursively by
ak = ak-1 + 6k, k >1 and
ao = 6 .
(a) Use iteration to guess an explicit formula for the sequence.
(b) Use mathematical induction to verify the correctness of the formula you obtained in
part (a).
Transcribed Image Text:The sequence ao, ɑ1, ɑ2, . . . is given recursively by ak = ak-1 + 6k, k >1 and ao = 6 . (a) Use iteration to guess an explicit formula for the sequence. (b) Use mathematical induction to verify the correctness of the formula you obtained in part (a).
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