0
What else can I help you with?
What is a sequence in which term is found by adding the same number?
A sequence in which each term is found by adding the same number to the previous term is called an arithmetic sequence. In this type of sequence, the difference between consecutive terms, known as the common difference, remains constant. For example, in the sequence 2, 5, 8, 11, the common difference is 3, as each term is obtained by adding 3 to the previous term.
What is the difference between an arithmetic and geometric sequence?
An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, called the common difference, to the previous term. In contrast, a geometric sequence is formed by multiplying the previous term by a constant value, known as the common ratio. For example, in the arithmetic sequence 2, 5, 8, 11, the common difference is 3, while in the geometric sequence 3, 6, 12, 24, the common ratio is 2. Thus, the primary difference lies in how each term is generated: through addition for arithmetic and multiplication for geometric sequences.
What is a sequence called which each term is found by adding the same number?
A sequence in which each term is found by adding the same number is called an arithmetic sequence or arithmetic progression. In this sequence, the difference between consecutive terms is constant, known as the common difference. For example, in the sequence 2, 5, 8, 11, each term is obtained by adding 3 to the previous term.
What is a sequence on which term is found by adding the same number?
A sequence in which each term is found by adding the same number to the previous term is called an arithmetic sequence. In this type of sequence, the difference between consecutive terms, known as the common difference, remains constant. For example, in the sequence 2, 5, 8, 11, each term is obtained by adding 3 to the previous term. This consistent pattern defines the arithmetic nature of the sequence.
When you add the same number the previous term?
When you add the same number to the previous term in a sequence, you create an arithmetic sequence. In this type of sequence, each term is derived by adding a constant difference to the preceding term. This results in a linear pattern where the difference between consecutive terms remains constant. For example, if you start with 2 and add 3 each time, the sequence would be 2, 5, 8, 11, and so on.
What is in an arithmetic sequence the nonzero constant difference of any term and the previous term?
The constant increment.
What is a sequence in which term is found by adding the same number?
A sequence in which each term is found by adding the same number to the previous term is called an arithmetic sequence. In this type of sequence, the difference between consecutive terms, known as the common difference, remains constant. For example, in the sequence 2, 5, 8, 11, the common difference is 3, as each term is obtained by adding 3 to the previous term.
What is the difference between an arithmetic and geometric sequence?
An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, called the common difference, to the previous term. In contrast, a geometric sequence is formed by multiplying the previous term by a constant value, known as the common ratio. For example, in the arithmetic sequence 2, 5, 8, 11, the common difference is 3, while in the geometric sequence 3, 6, 12, 24, the common ratio is 2. Thus, the primary difference lies in how each term is generated: through addition for arithmetic and multiplication for geometric sequences.
What is a sequence called which each term is found by adding the same number?
A sequence in which each term is found by adding the same number is called an arithmetic sequence or arithmetic progression. In this sequence, the difference between consecutive terms is constant, known as the common difference. For example, in the sequence 2, 5, 8, 11, each term is obtained by adding 3 to the previous term.
What is a sequence on which term is found by adding the same number?
A sequence in which each term is found by adding the same number to the previous term is called an arithmetic sequence. In this type of sequence, the difference between consecutive terms, known as the common difference, remains constant. For example, in the sequence 2, 5, 8, 11, each term is obtained by adding 3 to the previous term. This consistent pattern defines the arithmetic nature of the sequence.
When you add the same number the previous term?
When you add the same number to the previous term in a sequence, you create an arithmetic sequence. In this type of sequence, each term is derived by adding a constant difference to the preceding term. This results in a linear pattern where the difference between consecutive terms remains constant. For example, if you start with 2 and add 3 each time, the sequence would be 2, 5, 8, 11, and so on.
A term that has no variable?
... is called a constant term. (I couldn't delete this ... see Anand Mehta above.)
What is numerical pattern that increases or decreases at a constant rate or value?
An arithmetic sequence is a numerical pattern where each term increases or decreases by a constant value. This constant value is called the common difference.
What is found by multiplying the previous term by the same number?
If I understand your question, you are asking what kind of sequence is one where each term is the previous term times a constant. The answer is, a geometric sequence.
A number that stands by itself is called an?
It may be called "the constant term".
In an arithmetic sequence the constant rate of increase or decrease between successive terms is called the?
In an arithmetic sequence, the constant rate of increase or decrease between successive terms is called the common difference. This value can be positive, negative, or zero, depending on whether the sequence is increasing, decreasing, or constant. The common difference is denoted by the symbol ( d ) and is calculated by subtracting any term from the subsequent term.
What are a sequence of seven such numbers?
A sequence of seven numbers is a set of numbers arranged in a specific order. Each number in the sequence is called a term. For example, a sequence of seven numbers could be {1, 3, 5, 7, 9, 11, 13}, where each term differs by a constant value of 2. Sequences can follow different patterns, such as arithmetic sequences where each term is found by adding a constant value to the previous term, or geometric sequences where each term is found by multiplying the previous term by a constant value.
