Flashcards: Understanding Sequences and Series — 3 cards

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1Question

Sequence — definition?

Answer

An ordered list of numbers with terms indexed by natural numbers.

2Question

Series — notation?

Answer

Sum of sequence terms, denoted as _{k=1}^{n} a_k or _{k=1}^{\u221e} a_k for infinite.

3Question

Arithmetic sequence — role?

Answer

Defines terms with constant difference, used to model linear progressions.

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1. What is the definition of the limit of a sequence?

2. What is the primary purpose of using series notation in mathematics?

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