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*PLEASE HELP ME SOLVE ASAP!!!*

- SHOW DETAILS AND EXAMPLES PLEASE.

*PLEASE HELP ME SOLVE ASAP!!!* - SHOW DETAILS AND EXAMPLES PLEASE.-example-1

1 Answer

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Answer:

  • Timmy has successfully shown Suzie's conjecture is incorrect
  • Suzie's conjecture is correct if the smallest square in the sum is 1

Explanation:

The sum of odd numbers 1 .. n is ((n+1)/2)², a perfect square. Suzie is right about that. What Timmy has shown is that she is incorrect that the conjecture applies to any sum of consecutive odd numbers.

Timmy's sum of 5+7+9 is incorrect; it is 3·7 = 21. But, Timmy has the right idea. The sum of an arbitrary set of consecutive odd numbers will be the difference of two squares, but not necessarily a perfect square.

User Sameer Manek
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