Explore the Characteristics of the Number Set: 100, 50, 25, 10, 20

Test multiple relationships: differences between consecutive terms, ratios, sums, or other operations. If none work consistently for all pairs, then no pattern exists!

Look for arithmetic sequences (constant difference), geometric sequences (constant ratio), or other relationships like $+n, \times n, \text{ or } n^2$ patterns.

Absolutely! Not every set of numbers has a mathematical pattern. Recognizing when no pattern exists is just as important as finding patterns that do exist.

Always double-check by testing:

• Differences between terms
• Ratios between terms
• Sums or products
• Powers or roots

This teaches critical thinking! It's important to learn that not everything has a simple mathematical relationship, and that's a valid mathematical conclusion.