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UseMathematicalInductiontoprovethatthesumofthecubesofanythree positive, consecutive integersis divisible by 9.In other words, let k Z+(set of positive int).Prove that 9|(k^3+(k+1)^3+(k+2)^3). (a)State and prove the Base Case. (b)State the
UseMathematicalInductiontoprovethatthesumofthecubesofanythree positive, consecutive integersis divisible by 9.In other words, let k Z+(set of positive int).Prove that
9|(k^3+(k+1)^3+(k+2)^3).
(a)State and prove the Base Case.
(b)State the Inductive Hypothesis.
(c)Show the Inductive Step.
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