In a Geometric Sequence each term is found by multiplying the previous term by a common ratio except the first term and the general rule is ar^(n-1) whereas a is the first term, r is the common ratio and (n-1) is term number minus 1
an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.
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A Postulate,
Fractals exhibit self-similarity and complex patterns that emerge from simple geometric rules, often involving recursive processes. Geometric sequences, characterized by a constant ratio between successive terms, can manifest in the scaling properties of fractals, where each iteration of the fractal pattern can be seen as a geometric transformation. For example, in the construction of fractals like the Koch snowflake, each stage involves multiplying or scaling by a fixed ratio, reflecting the principles of geometric sequences in their iterative growth. Thus, both concepts explore the idea of infinite complexity arising from simple, repeated processes.
The common difference does not tell you the location of the sequence. For example, 3, 6, 9, 12, ... and 1, 4, 7, 10, .., or 1002, 1005, 1008, 1011, ... all have a common difference of 3 but it should be clear that the three sequences are different. A common difference is applicable to arithmetic sequences, not others such as geometric or exponential sequences.
how are arithmetic and geometric sequences similar
Exponentail functions
There can be no solution to geometric sequences and series: only to specific questions about them.
an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.
Follow this method:
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There aren't any. Geometric is an adjective and you need a noun to go with it before it is possible to consider answering the question. There are geometric sequences, geometric means, geometric theories, geometric shapes. I cannot guess what your question is about.
yes a geometic sequence can be multiplication or division
An arithmetic-geometric mean is a mean of two numbers which is the common limit of a pair of sequences, whose terms are defined by taking the arithmetic and geometric means of the previous pair of terms.
There is no single rule. Furthermore, some rules can be extremely complicated.
Some of them are demographics, to forecast population growth; physicists and engineers, to work with mathematical functions that include geometric sequences; mathematicians; teachers of mathematics, science, and engineering; and farmers and ranchers, to predict crop growth and corresponding revenue growth.
A Postulate,