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Arithmetic and geometric sequences are similar in that both are ordered lists of numbers defined by a specific rule. In an arithmetic sequence, each term is generated by adding a constant difference to the previous term, while in a geometric sequence, each term is produced by multiplying the previous term by a constant factor. Both sequences can be described using formulas and have applications in various mathematical contexts. Additionally, they both exhibit predictable patterns, making them useful for modeling real-world situations.

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1w ago

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How are arithemetic and geometric sequences similar?

how are arithmetic and geometric sequences similar


Arithmetic sequences are to linear functions as geometric sequences are to what?

Exponentail functions


How do arithmetic and geometric sequences compare to continuous functions?

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


What is the formula for non arithmetic and geometric sequences?

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What is an arithmetic-geometric mean?

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.


Arithmetic and geometric sequences?

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What are the answers for Arithmetic and Geometric Sequences gizmo?

Arithmetic : (First term)(last term)(act of terms)/2 Geometric : (first term)(total terms)+common ratio to the power of (1+2+...+(total terms-1))


How do you find the sum of a series of numbers?

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.


Is Fibonacci arithmetic or geometric?

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How is sequences in maths related to other subjects?

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


What is a geometric property?

1.The Geometric mean is less then the arithmetic mean. GEOMETRIC MEAN < ARITHMETIC MEAN 2.


What are arithmetic and geometric patterns in math look like?

they look like arithmetic and geometric patterns in math