Questions and Answers
What is an Arithmetic Sequence?
What is the Arithmetic Recursive Formula?
an=an-1 + d
What is the Arithmetic Explicit Formula?
an=a1 + (n-1)d
What defines a Geometric Sequence?
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What is the Geometric Recursive Formula?
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What is the Geometric Explicit Formula?
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Study Notes
Arithmetic Sequence
- Defined by a constant difference between consecutive terms.
- Represents a linear progression of numbers.
Arithmetic Recursive Formula
- Expressed as an = an-1 + d.
- "d" denotes the fixed difference added to each term to reach the next.
Arithmetic Explicit Formula
- Given as an = a1 + (n-1)d.
- "a1" is the first term, "n" is the term position, and "d" is the common difference.
Geometric Sequence
- Characterized by a constant ratio between consecutive terms.
- Demonstrates exponential growth or decay depending on the ratio.
Geometric Recursive Formula
- Written as an = an-1 x r.
- "r" represents the fixed ratio multiplied to obtain the subsequent term.
Geometric Explicit Formula
- Given by an = a1 x r^(n-1).
- "a1" is the first term, "r" is the common ratio, and "n" indicates the term position in the sequence.
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Description
This quiz focuses on the key concepts related to mathematical patterns, specifically arithmetic and geometric sequences. Flashcards include definitions and formulas that is essential for understanding these patterns in mathematics. Perfect for students looking to enhance their understanding of sequences.
