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What is an arithmetic function?
An arithmetic function is any function which is defined for all positive integers, and has values which are either real or complex.
Which term describes a function in which the y-values form a geometric sequence?
A function in which the y-values form a geometric sequence is referred to as a geometric function. In such functions, each successive value is obtained by multiplying the previous value by a constant ratio. This characteristic means that for a given input, the output values follow a specific pattern defined by the geometric sequence.
What term describes the set of all possibles input values for a function?
Domain describes all possible input values.
What term describes the set of all values that a function will return as outposts?
The range of the function.
How can a sequence be both arithmetic and geometric?
A sequence can be both arithmetic and geometric if it consists of constant values. For example, the sequence where every term is the same number (e.g., 2, 2, 2, 2) is arithmetic because the difference between consecutive terms is zero, and it is geometric because the ratio of consecutive terms is also one. In such cases, the sequence meets the criteria for both types, as both the common difference and the common ratio are consistent.
Which term describes a function in which the y-values form an arithmetic sequence?
linear function
Can an arithmetic sequence be odd?
An arithmetic sequence can consist of only odd numbers but it cannot be an odd function since it need not be defined for negative values of the index.
Which term describes a function in which the values form a geometric sequence?
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What is an arithmetic function?
An arithmetic function is any function which is defined for all positive integers, and has values which are either real or complex.
Which term describes a function in which the y-values form a geometric sequence?
A function in which the y-values form a geometric sequence is referred to as a geometric function. In such functions, each successive value is obtained by multiplying the previous value by a constant ratio. This characteristic means that for a given input, the output values follow a specific pattern defined by the geometric sequence.
What is the sequence of 3n plus 5?
It is an arithmetic progression. Elements of the sequence can be identified by substituting the values of n in the expression 3n + 5
What term describes the set of all possibles input values for a function?
Domain describes all possible input values.
What term describes the set of all values that a function will return as outposts?
The range of the function.
What best describes the domain of a function?
The range of a function is the set of all possible input values.
How can a sequence be both arithmetic and geometric?
A sequence can be both arithmetic and geometric if it consists of constant values. For example, the sequence where every term is the same number (e.g., 2, 2, 2, 2) is arithmetic because the difference between consecutive terms is zero, and it is geometric because the ratio of consecutive terms is also one. In such cases, the sequence meets the criteria for both types, as both the common difference and the common ratio are consistent.
How can you tell whether a table of values represents a quadratic function?
Unless the operands form an arithmetic sequence, it is not at all simple. That means the difference between successive points must be the same. If that is the case and the SECOND difference in the results is constant then you have a quadratic.
What is the sum of the first 28 terms of this arithmetic sequence?
To find the sum of the first 28 terms of an arithmetic sequence, you need the first term (a) and the common difference (d). The formula for the sum of the first n terms (S_n) of an arithmetic sequence is S_n = n/2 * (2a + (n - 1)d). Once you have the values of a and d, plug them into the formula along with n = 28 to calculate the sum.
