9045 Number Patterns Arithmetic Rules & Expressions

The value of the coefficient of n is -30 because it is explicitly stated in the given information.

The value of the coefficient of n is -2 because it is explicitly stated in the given rule.

The value of the coefficient of n is 10.

The value of the coefficient of n is 5.

If the coefficient of n and the common difference are the same value, it means that the sequence is an arithmetic sequence with a common difference of 5. Therefore, the value of 'd' for this sequence is 5.

If the coefficient of n and the common difference are the same value, it means that the sequence is an arithmetic sequence with a common difference of 30. Therefore, the value of 'd' for the sequence generated by the rule above is 30.

If the coefficient of n and the common difference are the same value, it means that the sequence is an arithmetic sequence with a common difference equal to the coefficient of n. In this case, the common difference (d) is equal to -10.

If the coefficient of n and the common difference are the same value, it means that the sequence follows the pattern of subtracting the same value from each term. In this case, since the common difference is equal to the coefficient of n, the value of d would also be -7.

If the coefficient of n and the common difference are the same value, it means that each term in the sequence is obtained by multiplying the position of the term by the same value. In this case, since the coefficient of n is -5, the value of d (common difference) is -5. Therefore, the answer is -5.

If the coefficient of n and the common difference are the same value, it means that the sequence is an arithmetic sequence with a common difference of -200.

If the coefficient of n and the common difference are the same value, it means that for each term in the sequence, the difference between consecutive terms is constant. In this case, the common difference is -100, which means that each term in the sequence is decreased by 100 compared to the previous term.

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If the coefficient of n and the common difference are the same value, it means that each term in the sequence is obtained by multiplying the position of the term by the common difference. In this case, the common difference is 6, so the value of 'd' is 6.

If the coefficient of n and the common difference are the same value, it means that the sequence is an arithmetic sequence with a common difference of -5. Therefore, the value of 'd' for this sequence is -5.

The given options are different types of mathematical terms. An expression is a mathematical phrase that combines numbers, variables, and operators, but does not have an equal sign. An equation, on the other hand, contains an equal sign and represents a balance between two expressions. A rule is a general statement or principle that describes a relationship or behavior. A term refers to a single number, variable, or constant. Based on these definitions, the correct answer is expression, as it fits the description of a mathematical phrase without an equal sign.

The given options are different types of mathematical terms. An expression is a mathematical phrase that contains numbers, variables, and operations. It does not have an equal sign and cannot be solved. In contrast, an equation is a statement that shows that two quantities are equal and can be solved for the unknown variable. A rule is a general statement or principle that describes a mathematical relationship or pattern. A term, on the other hand, refers to individual components in an expression or equation. Since the question is asking for the type of the given statement, which does not have an equal sign, the correct answer is expression.

The value of the constant is 6 because it is explicitly stated in the answer.

An equation is a mathematical statement that shows the equality of two expressions. In this case, the question is asking whether "the above" is an expression, an equation, a rule, or a term. Since it is identified as an equation, it implies that there must be an equality between two expressions.

The value of the constant in the given rule is -26.

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The value of the constant is -33 because it is explicitly stated in the answer.

The value of the constant in the given rule is 31.

The value of the constant in the given rule is 240.

The value of the constant in the given rule is -15.

The value of the constant is -184 because it is explicitly stated in the given answer.

The value of the constant in the given rule is -24.

The value of the constant in the given rule is -26.

The value of the coefficient of n is -7.

The value of the coefficient of n is 100 because it is explicitly stated in the answer.

The value of the coefficient of n is 100.

The value of the coefficient of n is 10 because it is explicitly stated in the answer.

The value of the coefficient of n is 9.

The value of the coefficient of n is 10.

The given answer is "Rule" because a rule is a general statement that describes a pattern or relationship between different elements or variables. In this case, the question is asking about the nature of the given statement, which is not an equation or an expression, but rather a general rule that can be applied in various situations. Therefore, "Rule" is the correct answer.

The given options are "Expression," "Term," "Equation," and "Rule." In this case, both "Expression" and "Term" are correct answers. An expression is a combination of variables, constants, and operators, while a term is a component of an expression that is separated by addition or subtraction. Therefore, both "Expression" and "Term" are suitable explanations for the correct answer.