Samengestelde Regels

Leren

Rijen die meerdere bewerkingen combineren (zoals optellen en vermenigvuldigen) om elk element te genereren.

Compound rule sequences apply more than one operation to get from one term to the next. Common combinations include 'multiply then add', 'add then multiply', or alternating between different operations. These sequences require recognizing that a single operation won't explain the pattern.

aₙ₊₁ = f(g(aₙ)), where f and g are different operations

• 2, 5, 11, 23, 47... (×2 then +1 each step)
• 1, 3, 7, 15, 31... (×2 then +1, or 2ⁿ - 1)
• 3, 7, 15, 31... (×2 + 1 each step)

Zo herkent u het

• Simple differences or ratios don't reveal a constant
• Try combinations: (term × k) + c or (term + c) × k
• Look for patterns like 'double and add one'
• The relationship between terms may need two operations

Veelgemaakte fouten

• Assuming only one operation is involved
• Not trying different operation orders
• Missing that some compound rules simplify to formulas (like 2ⁿ - 1)

Oefenadvies

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