The sequence 2, 3, 5, 8, 12 is neither arithmetic nor geometric. In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant. In this sequence, there is no constant difference or ratio between consecutive terms, so it does not fit the criteria for either type of sequence.
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
It is a constant, other than 0 or 1.
A geometric series.
The sequence 2, 3, 5, 8, 12 is neither arithmetic nor geometric. In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant. In this sequence, there is no constant difference or ratio between consecutive terms, so it does not fit the criteria for either type of sequence.
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
The ratio between successive numbers must be a constant.
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?
To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence does not appear to follow a simple arithmetic or geometric progression. Therefore, it is likely following a pattern involving squares or cubes of numbers. By examining the differences between consecutive terms, we can deduce the pattern and determine the nth term. In this sequence, the differences between consecutive terms are 9, 15, 21, which are not constant. This suggests a more complex pattern, possibly involving squares or cubes of numbers.