Here are the vocabulary terms matched with their definitions:
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Standard Form: A way to express a number or an equation, typically written in a conventional format.
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Sequence: An ordered list of numbers that follow a particular pattern or rule.
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Factorial: The product of all positive integers up to a specified number, denoted by n! (e.g., 5! = 5 × 4 × 3 × 2 × 1).
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2nd Differences: The differences of the differences of consecutive terms in a sequence; used to determine if a sequence is quadratic.
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Arithmetic Sequence: A sequence in which the difference between consecutive terms is constant.
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Successive Differences: The differences between consecutive terms of a sequence.
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Polynomial: An expression consisting of variables and coefficients, composed using only addition, subtraction, multiplication, and non-negative integer exponents.
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1st Differences: The differences between consecutive terms in a sequence; helps identify the type of sequence.
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Constant Differences: A situation in which the differences between terms remain the same, indicating a linear relationship.
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Common Difference: The fixed amount added (or subtracted) to each term in an arithmetic sequence.
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Polynomial Expression: A mathematical expression that involves a polynomial.
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Polynomial Sequence: A sequence where each term can be expressed as a polynomial in terms of its position in the sequence.
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Degree: The highest power of the variable in a polynomial expression.
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Quadratic Polynomial: A polynomial of degree 2, typically in the form \( ax^2 + bx + c \).
Feel free to ask if you need more information on any of these terms!
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