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Let p(n) be the statement that 12 +22 +···+n2 = n(n+1)(2n+1)/6 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. c) what is the inductive hypothesis? d) what do you need to prove in the inductive step? e) complete the inductive step, identifying where you use the inductive hypothesis. f) whenever n is a positive integer.
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Triangle inequality theorem state if each set of three numbers can be the lengths of the sides of a triangle. 1. 9, 8, 22. 2. 5,10,12. 3. 7,10,22. 4. 4,11,12. 5. 11,9,10. 6. 10,4,19. 7. 3,12,10. 8. 4,3,2. 9. 6,5,13. 10. 7,12,20. me .
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Let p(n) be the statement that 12 +22 +···+n2 = n(n+1)(2n+1)/6 for the positive integer n. a) what i...
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