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[DOC File]WORKSHEET: Arithmetic Sequence & Series Word Problems
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An arithmetic sequence is a sequence of numbers with a common difference. For example, 3, 5, 7, 9, … is an arithmetic sequence with the first term 3 and a common difference of 2. We will typically denote the first term of an arithmetic sequence as a1 and its common difference as …
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[DOC File]Arithmetic and Geometric Sequences
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5. Explain the definition of the arithmetic sequence as the series of a number that every next term is made with adding same number to former number using previous step. Show previous step picture with the power point. Give the examples of the Arithmetic Sequence 5, 3, 1, -1, … on the chalkboard.
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[DOC File]Arithmetic Sequences
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ARITHMETIC SEQUENCES & SERIES WORKSHEET. The . general term of an arithmetic sequence. is given by the formula . an = a1 + (n - 1)d. where . a1. is the . first term. in the sequence and . d. is the . common difference. Finding the sum of a given arithmetic sequence: 1. Identify a1, n, and d for the sequence. 2. Find an using an = a1 + (n - 1)d ...
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[DOC File]Hon Alg 2: Unit 6
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series: infinite series: finite series: finite/infinite arithmetic series: Theorems: The sum Sn = a1 + … + an of an arithmetic series with first term a1 and constant difference d is given by. Sn = (a1 + an) or Sn = (2a1 + (n-1)d) Teacher Examples: Evaluate: a. 8 ( (n2 – 1) n=1. b. 8 …
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[DOC File]Arithmetic Sequences
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This is an increasing arithmetic sequence with a common difference of 3. 32, 26, 20, 14, 8, … This is a decreasing arithmetic sequence with a common difference of –6. If asked to extend either of these patterns (the next 3 terms), you need to know the last term and then you can go on from there. These are examples of . recursive sequences ...
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[DOCX File]Arithmetic Series
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An arithmetic sequence can be represented by a1, a1 +d, a1 + 2d, …. In the sequence 2, 5, 8, ….. the common difference is 3. The sequences 1, 3, 5, 7, ….. and 2, 8, 14, 20, ….. are examples of arithmetic sequences. Each has the property that the difference between any two immediate successive terms is …
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[DOC File]Pre– Calculus 11 Ch 1: Sequences and Series Name
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ARITHMETIC SERIES (SUM, Sn): The sum of consecutive terms for an arithmetic sequence. EXAMPLE: Find the sum of the arithmetic sequence 4, 11, 18, 25, 32, 39, 46, 53, 60. Formula for ARITHMETIC SERIES (SUM): Alternative: (10) Find the arithmetic series of … a. the first 100 natural numbers. b. -3.4 – 1.6 + 0.2 + 2 + 3.8 + 5.6 + 7.4 + 9.2
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Arithmetic Series Calculation Examples – Mathlibra
Examples: Find the sum of 8 + 11 + 14 + 17 + 20 +23. ... Find the sum of 100 + 93 + 86 + 79 + … to 40 terms. An arithmetic series has 11 terms. The first term is 6 and the last term is -27. Find the sum of the series. A bricklayer builds a triangular wall with layers of bricks as shown. If the bricklayer uses 171 bricks, how many layers did ...
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[DOC File]Aithmetic Sequence;
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The three examples shown from above are typical examples of Arithmetic Sequences. An . arithmetic sequence . is an ordered list of terms in which the difference between consecutive terms is constant. In other words, there is a common difference between two consecutive terms. Look at the following examples of Non- Arithmetic Sequences.
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Examples of arithmetic series