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Q: Is constant sequence an AP

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An 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.

Ratio

The constant increment.

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

Arithmetic Sequence

No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant

A geometric sequence is an ordered set of numbers such that (after the first number) the ratio between any number and its predecessor is a constant.

4,8,12,16,20

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...

It is an ordered set of numbers in which the difference between any member of the sequence (except the first) and its predecessor is a constant.

No. Although the ratios of the terms in the Fibonacci sequence do approach a constant, phi, in order for the Fibonacci sequence to be a geometric sequence the ratio of ALL of the terms has to be a constant, not just approaching one. A simple counterexample to show that this is not true is to notice that 1/1 is not equal to 2/1, nor is 3/2, 5/3, 8/5...

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.

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

This is a geometric sequence. Each number is multiplied by the same constant, to get the next number. If you divide any number by the previous one, you can find out what this constant is.

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.

In simpler terms, a geometric sequence is a sequence in which some constant (same) number multiplies every-time to give u the next number in the sequence. 2, 4, 6, 8, 10, 12 - The constant is 2 (E.g. 2 x 2 = 4) 6, 36, 216, 1296, 7776 - The constant is 6 (E.g. 6 x 6 = 36) ------------------------------------------------------------------------------------------------------------------ To figure out the constant number we just divide one number in the sequence by the one next to it on the left. E.g. 36/6 = 6 ++++ That first example, starting at 2 with a constant=2, is arithmetical not geometrical because it simply adds 2 each time. If the constant is a multiplier the series is 2, 4, 8, 16, 32, 64, ...

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.

The ratio between successive numbers must be a constant.

8, 11, 14, 17, 20, 23 and 26