T F 8. F 9. T T F 10. For all integers n, 3|n³ – n The last digit of 3303 is a seven. The last two digits of 52024 is 24.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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**Educational Website Math Transcription**

**True or False Statements:**

8. **Statement:** For all integers \( n \), \( 3 \mid n^3 - n \).
   
9. **Statement:** The last digit of \( 3^{303} \) is a seven.

10. **Statement:** The last two digits of \( 5^{2024} \) is 24.

---

In this set of mathematical statements, each is followed by "T" (True) and "F" (False) options, suggesting a true or false evaluation for each statement.
Transcribed Image Text:**Educational Website Math Transcription** **True or False Statements:** 8. **Statement:** For all integers \( n \), \( 3 \mid n^3 - n \). 9. **Statement:** The last digit of \( 3^{303} \) is a seven. 10. **Statement:** The last two digits of \( 5^{2024} \) is 24. --- In this set of mathematical statements, each is followed by "T" (True) and "F" (False) options, suggesting a true or false evaluation for each statement.
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