Partial sum arithmetic sequence calculator

    • [DOCX File]VOCABULARY: sequence, series, recursive sequence, partial ...

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      There are some mathematical relationships that are always true and these relationships are used as the rules of arithmetic and algebra and are useful for writing equivalent forms of expressions and solving equations and inequalities. ... sequence, series, recursive sequence, partial sum, sequence of partial sums, convergence, divergence, test ...

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    • [DOC File]HONORS FST - Dearborn Public Schools

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      Arithmetic Sequence: Geometric Sequence: Definitions: Sequence. Theorems: Let n be a positive integer and a1 and d be constants. The formulas. a1. an= a1 + (n –1)d and an = an-1 + d, n > 1. generate the terms of the arithmetic sequence with first term a1and constant difference d. Let n be a positive integer and g1 and r be constants. The ...

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    • [DOC File]An Investigation of Sequences and Series

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      While a sequence merely lists the values of terms generated by a sequence definition/formula, a . series. adds the terms in the sequence to produce a total sum or a partial sum for n terms. A series may be either finite or infinite.

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    • [DOC File]www.math.uakron.edu

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      Extension. Consider the series 8 + 4 + 2 + 1 + … developed in Part 1 of this activity. Recall that the sum was determined to be 16. Now consider the sequence of partial sums for this series: 8, 12, 14, 15, 15.5, 15.75, … Write a rule for the sequence of partial sums. Graph the series on your graphing calculator on the window [0,20] X [0,17].

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    • [DOC File]Mathematics IV - Administration

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      This expression gives the partial sum, the sum of the first n terms of a sequence. More generally, we can write , where k is the starting value. Sum of a finite arithmetic series: The sum, Sn, of the first n terms of an arithmetic sequence is given by , where a1 = value of the first term and an = value of the last term in the sequence.

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    • [DOC File]Mathematics IV - Henry County School District

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      This expression gives the partial sum, the sum of the first n terms of a sequence. More generally, we can write , where k is the starting value. Sum of a finite arithmetic series: The sum, Sn, of the first n terms of an arithmetic sequence is given by , where a1 = value of the first term and an = value of the last term in the sequence.

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    • [DOC File]Department of Mathematics : The University of Akron

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      Extension. Consider the series 8 + 4 + 2 + 1 + … developed in Part 1 of this activity. Recall that the sum was determined to be 16. Now consider the sequence of partial sums for this series: 8, 12, 14, 15, 15.5, 15.75, … Write a rule for the sequence of partial sums. Graph the series on your graphing calculator on the window [0,20] X [0,17].

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