Consider the following procedure: Pick a number. Multiply the number by 9, Add 15 to the product, Divide the sum by 3 and subtract 5. Complete the above procedure for several different numbers. Use inductive reasoning to make a conjecture about the relationship between the size of the resulting number and the size of the original number.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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  1. Consider the following procedure:
  2. Pick a number.
  3. Multiply the number by 9,
  4. Add 15 to the product,
  5. Divide the sum by 3 and subtract 5.
  6. Complete the above procedure for several different numbers. Use inductive reasoning to make a conjecture about the relationship between the size of the resulting number and the size of the original number.

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