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A geometric series.
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.
evaluate
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,.
Ratio
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.
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.
The ratio between successive numbers must be a constant.
evaluate
what is the recursive formula for this geometric sequence?
A harmonic sequence is a sequence of numbers in which the reciprocal of each term forms an arithmetic progression. In other words, the ratio between consecutive terms is constant when the reciprocals of the terms are taken. It is the equivalent of an arithmetic progression in terms of reciprocals.