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A prime number is a natural number with exactly two distinct positive numbers,
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a. What type of reasoning is Amy using?
b. Try the next several natural numbers and see whether they seem to work.
c. Show that Amy’s conjecture is false for
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Chapter 1 Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
- Expand 3(x2)5+4(x2)3 by using Pascal’s Triangle to determine the coefficients.arrow_forwardShow that if the statement 1+2+3+...+n=n(n+1)2+2 is assumed to be true for n=k, the same equation can be proved to be true for n=k+1. Explain why this does not prove that the statement is true for all positive integers. Is the statement true for all positive integers? Why?arrow_forward
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