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Name: ___ Date: ___Sequences Practice WorksheetArithmetic Sequences: A sequence of terms that have a common ___ between them. Formula:where a1 is the first number in the sequence and d is the common
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How to fill out arithmetic and geometric sequences

01
Arithmetic sequences: 1. Identify the first term (a) and the common difference (d). 2. Write down the formula for the nth term of an arithmetic sequence: a_n = a + (n-1)d. 3. Plug in the values of a and d into the formula to find the nth term.
02
Geometric sequences: 1. Identify the first term (a) and the common ratio (r). 2. Write down the formula for the nth term of a geometric sequence: a_n = a * r^(n-1). 3. Plug in the values of a and r into the formula to find the nth term.

Who needs arithmetic and geometric sequences?

01
Mathematics students who are studying sequences and series in their curriculum.
02
Engineers and scientists who need to analyze data and patterns in their work.
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Financial analysts who work with compound interest and investment growth calculations.
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Programmers and computer scientists who need to optimize algorithms and loops.

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Arithmetic and geometric sequences are ordered lists of numbers where each term is obtained by adding (arithmetic sequence) or multiplying (geometric sequence) a common difference or ratio to the previous term.
Arithmetic and geometric sequences are typically studied in mathematics courses and are not required to be filed by any specific entity.
Arithmetic sequences are filled out by adding the common difference to the previous term, while geometric sequences are filled out by multiplying the common ratio to the previous term.
Arithmetic sequences are used to model linear relationships, while geometric sequences are used to model exponential growth or decay.
Arithmetic sequences require the initial term and common difference to be reported, while geometric sequences require the initial term and common ratio to be reported.
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