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Q: In an arithmetic sequence the constant rate of increase or decreas between successive terms is called the?

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In a convoluted way, yes.

An arithmetic sequence.

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.

Sequence of numbers such that difference of any two successive member of the sequence is constant.Such as.....3,5,7,9........ Here in this example 2 is 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.

It is an arithmetic sequence (with constant difference 0), or a geometric sequence (with constant ratio 1).

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.

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

It is a sequence of numbers such that the ratio of successive terms is a constant.

The constant increment.

Arithmetic Sequence

It's technically called an arithmetic sequence

A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.

The ratio between successive numbers must be a constant.

It is an Arithmetic Progression with a constant difference of 11 and first term 15.

origin of arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference between successive terms is a constant. This constant is called the common difference and is usually denoted by d. If the first term is a, then the iterative definition of the sequence is U(1) = a, and U(n+1) = U(n) + d for n = 1, 2, 3, ... Equivalently, the position-to-term rule which defines the sequence is U(n) = a + (n-1)*d for n = 1, 2, 3, ...

It is an arithmetic sequence for which the index goes on and on (and on).

An arithmetic sequence is where a constant is added to the base case, and then added again until the proscribed limit is reached. An example is 1, 3, 5, 7, where the constant is 2 and the base case is 1. The constant can be negative, such as -4, base case 16, which leads to a descending sequence of 16 12 8 4 0 -4 -8...

An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.

yes. A zero common difference represents a constant sequence.