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Name: ___ Common Core Algebra 9H Number SequencesDate: ___ HW #851. Consider the sequence given by a plus 8 patterns: 2,10,18,26,.... She says that the formula for the sequence is f(n) 8n + 2. Marcus
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How to fill out arithmetic and geometric sequences

01
Write down the first term of the sequence.
02
Determine if the sequence is arithmetic or geometric by finding the common difference or ratio between terms.
03
Write down the common difference or ratio.
04
Use the formula for the nth term of an arithmetic sequence (a + (n-1)d) or geometric sequence (ar^(n-1)) to find the terms of the sequence.
05
Continue finding terms until you have enough or reach a specified point.

Who needs arithmetic and geometric sequences?

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Students studying mathematics or related subjects.
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Scientists and engineers analyzing data.
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Financial analysts predicting trends in the stock market.
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Arithmetic and geometric sequences are mathematical patterns consisting of a series of numbers that follow a specific rule or pattern.
Individuals or organizations involved in financial analysis, pattern recognition, and mathematical research may be required to file arithmetic and geometric sequences.
Arithmetic sequences are filled out by adding a constant number to each previous number, while geometric sequences are filled out by multiplying each previous number by a constant ratio.
The purpose of arithmetic and geometric sequences is to identify and analyze patterns in numerical data.
The information reported on arithmetic and geometric sequences includes the initial term, common difference or ratio, and the number of terms.
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