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 fixed, nonzero value. Arithmetic Sequence A list of numbers where each term is found by adding a constant value to the previous term. Common Ratio A fixed value by which each term in a geometric sequence is multiplied to get the next term. Common Difference A fixed value added to each term in an arithmetic sequence to obtain the next term. Recursive Formula An equation that defines each term of a sequence using the previous term and a constant value. General Formula An equation that allows direct calculation of any term in a sequence without reference to previous terms. First Term The initial value from which a sequence begins, often denoted as A₁. Exponential Growth A pattern where values increase rapidly due to repeated multiplication by a constant factor. Index A position number assigned to each term in a sequence, usually represented by n. Nth Term A general term representing the value at position n in a sequence, often denoted as Aₙ. Power An expression indicating how many times a number, the base, is multiplied by itself. Sequence An ordered list of numbers following a specific pattern or rule. Term An individual element or value in a sequence. Pattern A repeated or regular way in which numbers in a sequence are arranged. Multiplication The mathematical operation used to progress from one term to the next in a geometric sequence.
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