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Is constant sequence an AP?
It is an arithmetic sequence (with constant difference 0), or a geometric sequence (with constant ratio 1).
Is The Fibonacci sequence arithmetic?
No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant
What is A sequence of numbers such that the difference of any two successive members of the sequence is a constant?
An arithmetic sequence.
What is it where you find terms by adding the common difference to the previous terms?
An arithmetic sequence.
What is a sequence of numbers in which the difference between any two consecutive numbers is a constant called?
Arithmetic Sequence
What is it called when the constant difference of any term and the previous term?
In an arithmetic sequence, the difference between any term and the previous term is a constant.
Is constant sequence an AP?
It is an arithmetic sequence (with constant difference 0), or a geometric sequence (with constant ratio 1).
Is The Fibonacci sequence arithmetic?
No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant
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.
How do you determine a arithmetic sequence?
It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.
What is A sequence of numbers such that the difference of any two successive members of the sequence is a constant?
An arithmetic sequence.
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.
What is it where you find terms by adding the common difference to the previous terms?
An arithmetic sequence.
What is a sequence of numbers in which the difference between any two consecutive numbers is a constant called?
Arithmetic Sequence
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.
Can zero be the common difference for arithmetic progression?
yes. A zero common difference represents a constant sequence.
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.
