Geometric Sequences definitions Flashcards
Geometric Sequences definitions
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Geometric Sequence A list of numbers where each term is found by multiplying the previous term by a constant factor. Arithmetic Sequence A list of numbers where each term is found by adding a constant value to the previous term. Common Ratio The fixed number by which each term in a geometric sequence is multiplied to get the next term. Recursive Formula An equation that defines each term of a sequence using the previous term and a specific operation. General Formula An equation that allows direct calculation of any term in a sequence using its position, the first term, and a constant. Exponential Growth A pattern where values increase rapidly due to repeated multiplication by a constant factor. First Term The initial value from which a sequence begins and which is essential for constructing formulas. Index A number indicating the position of a term within a sequence. Term An individual element or value in a sequence, identified by its position. Sequence An ordered list of numbers following a specific pattern or rule. Power The exponent to which a number is raised, often used in general formulas for geometric sequences. Constant Difference A fixed value added between terms in an arithmetic sequence. Constant Ratio A fixed value multiplied between terms in a geometric sequence. Nth Term A term located at the n-th position in a sequence, often found using a general formula. Multiplication The operation used to progress from one term to the next in a geometric sequence.