Number Patterns (Grade 10 NSC Matric Mathematics): Flashcards

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Describing Sequences
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Definition of a sequence

An ordered list of numbers arranged in a specific pattern

Definition of a term in a sequence

Each individual number in the sequence

What does TnT_n represent?

The nth term (general term)

Characteristic of arithmetic sequences

Constant difference between consecutive terms

Characteristic of geometric sequences

Constant ratio between consecutive terms

Symbol for common difference

dd

Formula for common difference

d=Tn−Tn−1d = T_n - T_{n-1}

Standard form formula for arithmetic sequences

Tn=a+(n−1)dT_n = a + (n-1)d

What does 'a' represent in Tn=a+(n−1)dT_n = a + (n-1)d?

The first term

What does 'd' represent in Tn=a+(n−1)dT_n = a + (n-1)d?

The common difference

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Equations and Inequalities

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Finance and Growth

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