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The common difference between consecutive terms is 1.
A single term, such as 51474339 does not define a sequence.
No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant
arithmetic sequence
A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then a second difference must be found by finding the difference between the first consecutive differences.
in math ,algebra, arithmetic
A sequence of numbers in which the difference between any two consecutive terms is the same is called an arithmetic sequence or arithmetic progression. For example, in the sequence 2, 5, 8, 11, the common difference is 3. This consistent difference allows for predictable patterns and calculations within the sequence.
The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.
A single term, such as 51474339 does not define a sequence.
arithmetic sequence this is wrong
The difference between succeeding terms in a sequence is called the common difference in an arithmetic sequence, and the common ratio in a geometric sequence.
No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant
arithmetic sequence
A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then a second difference must be found by finding the difference between the first consecutive differences.
The sequence is arithmetic if the difference between every two consecutive terms is always the same.
in math ,algebra, arithmetic
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.
In mathematics, the common difference refers to the constant amount that is added or subtracted in each step of an arithmetic sequence. It is the difference between any two consecutive terms in the sequence. For example, in the sequence 2, 5, 8, 11, the common difference is 3, as each term increases by this amount. This concept helps in determining the formula for the nth term of an arithmetic sequence.