Letp(n)bethestatementthat13 +23 +⋯+n3 = (n(n+ 1)∕2)2 for the positive integer n.
a) what is t...
Mathematics, 18.11.2019 20:31 T0othless3clipes
Letp(n)bethestatementthat13 +23 +⋯+n3 = (n(n+ 1)∕2)2 for the positive integer n.
a) what is the statement p(1)?
b) show that p(1) is true, completing the basis step of the proof of p(n) for all positive integers n.
c) what is the inductive hypothesis of a proof that p(n) is true for all positive integers n?
d) what do you need to prove in the inductive step of a proof that p(n) is true for all positive integers n?
e) complete the inductive step of a proof that p(n) is true for all positive integers n, identifying where you use the inductive hypothesis.
f) explain why these steps show that this formula is true whenever n is a positive integer.
Answers: 2
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Desmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2xdesmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2x
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