Infinite Sum of (-2 + 2): Does it Equal Zero?
Published on August 22, 2024
Question
Is it true? And why?
Answer
Yes, the equation
is true. Here’s why:
Step 1: Simplify inside the parentheses.
- (-2 + 2) = 0
Step 2: Substitute the simplified value back into the equation.
- 0 + 0 + 0… = 0
Step 3: Apply the additive identity property.
- The additive identity property states that any number plus zero equals itself.
Conclusion:
No matter how many times you add zero to itself, the sum will always be zero. Therefore, the equation holds true.