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Q: In a geometric sequence the between consecutive terms is constant.?

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

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.

The ratio between successive numbers must be a constant.

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

Arithmetic Sequence

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It is a constant, other than 0 or 1.

A geometric series.

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

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.

The ratio between successive numbers must be a constant.

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

Arithmetic Sequence

To check whether it is an arithmetic sequence, verify whether the difference between two consecutive numbers is always the same.To check whether it is a geometric sequence, verify whether the ratio between two consecutive numbers is always the same.

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what is the recursive formula for this geometric sequence?

The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.

arithmetic sequence this is wrong