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Questions and Answers
What is an Arithmetic Sequence?
What is an Arithmetic Sequence?
- A sequence formed by multiplying a fixed number with each term
- Where the difference between consecutive terms is constant (correct)
- A sequence that generates its terms from a fixed number
- The ratio between consecutive terms is constant
What is the Arithmetic Recursive Formula?
What is the Arithmetic Recursive Formula?
an=an-1 + d
What is the Arithmetic Explicit Formula?
What is the Arithmetic Explicit Formula?
an=a1 + (n-1)d
What defines a Geometric Sequence?
What defines a Geometric Sequence?
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What is the Geometric Recursive Formula?
What is the Geometric Recursive Formula?
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What is the Geometric Explicit Formula?
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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