An arithmetic sequence is characterized by a constant difference between consecutive terms, resulting in a sequence where terms are obtained by addition or subtraction.
A recursive sequence uses previous terms to define subsequent terms, creating a pattern that builds upon itself.
To find the rule of an arithmetic sequence, you can multiply the term number by the constant difference between terms.
Figurate numbers are those that can be arranged in shapes like triangles, squares, pentagons, etc., forming a visual pattern as they increase.
A geometric sequence is formed by multiplying the previous term by a constant ratio, resulting in each term being a multiple of the preceding term.
Carry out the strategy is a step in Polya's Four Step Process, while the other options are strategies used to approach problem-solving situations.
Polya's Four Step Process for Problem Solving is a systematic approach to tackling problems. It starts with understanding the problem at hand, then selecting an appropriate strategy to solve it, followed by executing that strategy, and finally reflecting on the solution's validity and potential improvements by looking back. This process encourages a structured and comprehensive approach to effective problem-solving.