Friday, March 27, 2009

Blog 2

Since my last entry, i have investigated two questions, "could I add the new triple to itself and get another triple? Is there any other operation I could do on a triple to get another triple?"
If i were to add a new triple to itself, i would get another triple . For example,
  • 5-12-13 added to itself gives...
  • 10-24-26 added to itself gives...
  • 20-48-52 added to itself gives...
  • 40-96-104 added to itself gives...
  • 80-192-208 added to itself gives...

There seem to be no proper limit to my equation.

Any operation that involves multiplying all three number by the same digit well end up as another triple. For example,

  • 3-4-5 multiplied by 4...
  • 12-16-20 multiplied by 3...
  • 36-48-60

1 comment:

  1. You seem to have found a great pattern. What do you want to investigate next? You could continue to ask more questions about Pythagorean Triples, create your own question about right triangles, or choose another one of my questions from the original assignment to investigate.

    ReplyDelete