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Q: How are arithemetic and geometric sequences similar?

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Exponentail functions

There can be no solution to geometric sequences and series: only to specific questions about them.

Follow this method:

an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.

because starwars is awesome

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.

The answer depends on the nature of the sequence: there is no single method which will work for sequences which are arithmetic , geometric, exponential, or recursively defined.

yes a geometic sequence can be multiplication or division

Chimpanzee and Orangutan sequences are more than 90% similar. But not exact match.

no

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.

In fact the organisms are closely related because the DNA sequences are more similar. DNA sequences are more different as the organism differs.

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.

Find the 3nd term for 7.13.19

No, but it can be expressed as the sum of two geometric sequences. F_n = a^n + b^n a = (1+sqrt{5})/2 b = (1-sqrt{5})/2

There is no simple answer. There are simple formulae for simple sequences such as arithmetic or geometric progressions; there are less simple solutions arising from Taylor or Maclaurin series. But for the majority of sequences there are no solutions.

A few examples: Counting numbers are an arithmetic sequence. Radioactive decay, (uncontrolled) bacterial growth follow geometric sequences. The Fibonacci sequence is widespread in nature.

that they are related

Similar

They are said to be congruent or similar.

The ball does not return to its initial height after bouncing. So the height it reaches after the first bounce will be a fraction of the initial height, etc. This is a geometric sequence with common ratio 5/8.

Two congruent geometric figures have the same shape and the same size, whereas two similar geometric figures have the same shape but they differ in size.

arithemetic mean

DNA codes for RNA which codes for tRNA anticodons that are attached to the amino acid which will make up the polypeptide chain and ultimately the protein. Basically, DNA is the blueprint that will ultimately decide which proteins will be made. Proteins are made up of sequences of amino acids. If two organisms have similar amino acid sequences, that means that they must have similar DNA that told the cells to make those amino acid sequences.

Matthew, Mark and Luke are referred to as the 'synoptic gospels' in that they tell of similar stories and in similar sequences.

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