Page 2: Geometric Sequences

This page covers geometric sequences and their unique characteristics, emphasizing the multiplicative relationship between consecutive terms rather than additive differences.

Definition: A geometric sequence is a sequence where each term after the first is found by multiplying the previous term by a constant number (multiplier).

Example: The sequence 23, 92, 368, 1472 has a multiplier of 4 between consecutive terms.

Highlight: Unlike arithmetic sequences, geometric sequences use multiplication to progress from term to term.

The page demonstrates various geometric sequences with different multipliers, including fractional multipliers like 0.5, and explains how to verify if a number belongs to a sequence.

Page 1: Arithmetic Sequences

This page introduces the fundamental concepts of arithmetic sequences, focusing on pattern recognition and term calculation. The content demonstrates how to identify constant differences between consecutive terms and find specific terms in a sequence.

Definition: An arithmetic sequence is a sequence where the difference between consecutive terms remains constant.

Example: The sequence 12, 14, 16, 18, 20, 22 has a constant difference of +2 between terms.

Highlight: Finding terms in an arithmetic sequence involves identifying the pattern and applying it consistently.

Vocabulary: "Ghost term" refers to the term that comes before the first given term in a sequence.

The page includes multiple examples of arithmetic sequences with different common differences, such as +6 and +7, helping students understand pattern recognition.