Question
Match the vocabulary with its definition
Standard Form
Sequence
Factorial
2nd Differences
Arithmetic Sequence
Successive Differences
Polynomial
1st Differences
Constant Differences
Common Difference
Polynomial Expression
Polynomial Sequence
Degree
Quadratic Polynomial
Standard Form
Sequence
Factorial
2nd Differences
Arithmetic Sequence
Successive Differences
Polynomial
1st Differences
Constant Differences
Common Difference
Polynomial Expression
Polynomial Sequence
Degree
Quadratic Polynomial
Answers
GPT-4o mini
Here are the vocabulary terms matched with their definitions:
1. **Standard Form**: A way to express a number or an equation, typically written in a conventional format.
2. **Sequence**: An ordered list of numbers that follow a particular pattern or rule.
3. **Factorial**: The product of all positive integers up to a specified number, denoted by n! (e.g., 5! = 5 × 4 × 3 × 2 × 1).
4. **2nd Differences**: The differences of the differences of consecutive terms in a sequence; used to determine if a sequence is quadratic.
5. **Arithmetic Sequence**: A sequence in which the difference between consecutive terms is constant.
6. **Successive Differences**: The differences between consecutive terms of a sequence.
7. **Polynomial**: An expression consisting of variables and coefficients, composed using only addition, subtraction, multiplication, and non-negative integer exponents.
8. **1st Differences**: The differences between consecutive terms in a sequence; helps identify the type of sequence.
9. **Constant Differences**: A situation in which the differences between terms remain the same, indicating a linear relationship.
10. **Common Difference**: The fixed amount added (or subtracted) to each term in an arithmetic sequence.
11. **Polynomial Expression**: A mathematical expression that involves a polynomial.
12. **Polynomial Sequence**: A sequence where each term can be expressed as a polynomial in terms of its position in the sequence.
13. **Degree**: The highest power of the variable in a polynomial expression.
14. **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!
1. **Standard Form**: A way to express a number or an equation, typically written in a conventional format.
2. **Sequence**: An ordered list of numbers that follow a particular pattern or rule.
3. **Factorial**: The product of all positive integers up to a specified number, denoted by n! (e.g., 5! = 5 × 4 × 3 × 2 × 1).
4. **2nd Differences**: The differences of the differences of consecutive terms in a sequence; used to determine if a sequence is quadratic.
5. **Arithmetic Sequence**: A sequence in which the difference between consecutive terms is constant.
6. **Successive Differences**: The differences between consecutive terms of a sequence.
7. **Polynomial**: An expression consisting of variables and coefficients, composed using only addition, subtraction, multiplication, and non-negative integer exponents.
8. **1st Differences**: The differences between consecutive terms in a sequence; helps identify the type of sequence.
9. **Constant Differences**: A situation in which the differences between terms remain the same, indicating a linear relationship.
10. **Common Difference**: The fixed amount added (or subtracted) to each term in an arithmetic sequence.
11. **Polynomial Expression**: A mathematical expression that involves a polynomial.
12. **Polynomial Sequence**: A sequence where each term can be expressed as a polynomial in terms of its position in the sequence.
13. **Degree**: The highest power of the variable in a polynomial expression.
14. **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!