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Mathematical Patterns Flashcards

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Questions and Answers

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?

an=an-1 + d

What is the Arithmetic Explicit Formula?

an=a1 + (n-1)d

What defines a Geometric Sequence?

Where the ratio between consecutive terms is constant Signup and view all the answers

What is the Geometric Recursive Formula?

an= an-1 x r Signup and view all the answers

What is the Geometric Explicit Formula?

an=a1 x r^(n-1) Signup and view all the answers

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.