It is the "common difference".
It is the "common difference".
It is the "common difference".
It is the "common difference".
An arithmetic sequence is an ordered set of numbers such that the difference between any two successive members of the set is a constant.
An arithmetic sequence is an ordered set of numbers such that the difference between any two successive members of the set is a constant.
In an arithmetic sequence, the value of subtracting two successive terms is always constant and equal to the common difference of the sequence. This difference is the same regardless of which two successive terms are chosen. For example, if the sequence is defined by the first term ( a ) and the common difference ( d ), then the ( n )-th term is ( a + (n-1)d ), and the difference between successive terms ( (a + nd) - (a + (n-1)d) ) simplifies to ( d ).
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.
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.
An arithmetic sequence is an ordered set of numbers such that the difference between any two successive members of the set is a constant.
An arithmetic sequence is an ordered set of numbers such that the difference between any two successive members of the set is a constant.
An arithmetic sequence is an ordered set of numbers such that the difference between any two successive members of the set is a constant.
In an arithmetic sequence, the value of subtracting two successive terms is always constant and equal to the common difference of the sequence. This difference is the same regardless of which two successive terms are chosen. For example, if the sequence is defined by the first term ( a ) and the common difference ( d ), then the ( n )-th term is ( a + (n-1)d ), and the difference between successive terms ( (a + nd) - (a + (n-1)d) ) simplifies to ( d ).
An arithmetic sequence does not have a constant rate of increase or decrease between successive terms, so it cannot be called anything!The constant increase or decrease is called the common difference.
An arithmetic sequence is an ordered set of numbers such that the difference between any two successive members of the set is a constant.
The sequence in the question is NOT an arithmetic sequence. In an arithmetic sequence the difference between each term and its predecessor (the term immediately before) is a constant - including the sign. It is not enough for the difference between two successive terms (in any order) to remain constant. In the above sequence, the difference is -7 for the first two intervals and then changes to +7.
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.
The difference between successive terms in an arithmetic sequence is a constant. Denote this by r. Suppose the first term is a. Then the nth term, of the sequence is given by t(n) = (a-r) + n*r or a + (n-1)*r
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.
No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant
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.