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[DOC File]Mathematics IV
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Arithmetic sequence: A sequence of terms with . The explicit formula is given by and the recursive form is a1 = value of the first term and . Arithmetic series: The sum of a set of terms in arithmetic progression with . Common difference: In an arithmetic sequence or series, the difference between two consecutive terms is d, .
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[DOC File]Arithmetic Sequences - St. Francis Preparatory School
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where Sn is the sum of n terms (nth partial sum), a1 is the first term, an is the nth term. To find the arithmetic series, the formula for an must be used. MODEL: Find the sum of the first 20 terms of the sequence 4, 6, 8, 10, ...
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[DOCX File]pshs.psd202.org
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Explicit Formula: a n = a 1 ∙ r n-1 . Recursive Formula : a n =r ∙a n-1 . Partial Sum Formula: S n = a 1 ( 1- r n 1-r ) Geometric: Determine if the sequence is arithmetic, geometric, or neither. If arithmetic, state the common difference. If geometric, state the common ratio. 3, 6, 9, 12, 15,… b. 2, 8, 32, 128, 512,…
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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]Arithmetic Sequences
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where Sn is the sum of n terms (nth partial sum), a1 is the first term, an is the nth term. To find the arithmetic series, the formula for an must be used. MODEL: Find the sum of the first 20 terms of the sequence 4, 6, 8, 10, ...
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[DOC File]Arithmetic and Geometric Sequences
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Use the following formula to find any term of an arithmetic sequence. an = the term in the sequence you are trying to find (n represents the desired term number) a1 = the first term in the sequence. d = the common difference. Example: What is the 10th term of the following sequence? 1, 5, 9, 13, … So the 10th term of this sequence is 37. Example:
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[DOC File]Aithmetic Sequence;
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3. Write down the Arithmetic Sequence sum formula. 4. Find the sum. 1) 1 +5 +9 +…401. 2) 10 + 12 + 14 +….+ an. 5. Find the sum. 1) = 2) = ♥After give the feedback of the homework, there will be a period of time about a week before the test that the students can have questions for the test. ♫♪ Second test will be given. Small group ...
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[DOCX File]mrsupham21.weebly.com
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Example 5: Find the first four partial sums and the nth partial sum of the sequence given by a n = 1 2 n . *Notice that in the value of each partial sum the denominator is a power of 2 and the numerator is one less than the denominator.
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[DOC File]Chapter 11: Sequences and Series
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Arithmetic Note: Sequence Arithmetic Sequence Series (Find the sum) When you know the first and last term. When you know the first term and the common difference. Geometric. Note: Sequence Geometric Sequence Series (Find the sum) A finite Geometric Series (a limited number of terms, or Partial Sum) An . infinite
partial sum formula arithmetic

[DOCX File]Glassboro Public Schools / Overview
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th partial sum can be found by using the formula for the sum of a finite arithmetic sequence. 9.3 Geometric Series A. OBJ: to write and find the terms of a geometric series, to find the sum of an infinite and finite geometric series.
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Partial sum formula arithmetic sequence