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2024 AMC 10B Question 5

AMC10 · 2024 AMC 10B

Question 5

In the following expression, Melanie changed some of the plus signs to minus signs:

$$
1 + 3 + 5 + 7 + \cdots + 97 + 99
$$

When the new expression was evaluated, it was negative. What is the least number of plus signs that Melanie could have changed to minus signs?
  1. $14$
  2. $15$
  3. $16$
  4. $17$
  5. $18$