Arithmetic sequences and series

    • Arithmetic Sequences

      Arithmetic Sequences and SeriesName Student ActivityClass . Arithmetic Sequences and Series. Name . Student Activity. Class ...

    • [DOC File]SEQUENCES AND SERIES WORKSHEET

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      Find Sn for each series described. You will need to determine if the series is arithmetic or geometric. 12. 160 + 80 + 40 + … , n=6 13. a=5, r=-1/2, n=7. 14. a=13, d=-6, n=21 15. d=-2/3, n=16, un=44. Find “a” for each geometric series. 16. Sn=-55, r=-2/3, n=5 17. Sn=2457, a=3072, r=-4. Find the first 3 terms of each arithmetic series.

    • [DOC File]SEQUENCES AND SERIES WORKSHEET

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      9. Find the 15th term for the arithmetic sequence –3, 3, 9, … 10. Find the first 4 terms of the geometric sequence with a=-6 and r= -2/3 (fraction form) 11. The sum of an infinite geometric series is 81 and its common ratio is . Find the first three terms of the series. 12.

    • [DOCX File]Sequences and Series - Midthun Math

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      An arithmetic series can be used to calculate the total distance / reps after 1 month of training. In our studies of Sequences and Series, we discussed many topics about arithmetic and geometric sequences and series. You found the . n. th term, wrote explicit and recursive formulas and found the sum of each type of series.

    • [DOC File]WORKSHEET: Arithmetic Sequence & Series Word Problems

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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 ...

    • [DOC File]An Investigation of Sequences and Series

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      As expected, finite arithmetic and finite geometric series turn out to be nice and easily predictable. Part 3: Let’s re-visit our first two arithmetic sequences. a: Use the rule you discovered in Part 1a and your calculator’s seq( and cumsum( functions to store the following sequence to List1, List2, and List3.

    • [DOC File]CHAPTER 7: SEQUENCES, SERIES, AND COMBINATORICS

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      ARITHMETIC SEQUENCES AND SERIES. Arithmetic Sequences: A sequence is . arithmetic. if there exists a number d, called the . common difference, such that for any integer . nth Term of an Arithmetic Sequence: The . nth term . of an arithmetic sequence is given by for any integer . Example: Find the 14th term of the arithmetic sequence 4, 7, 10 ...

    • [DOC File]Arithmetic Sequence

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      518 Sequences and Series Review. Arithmetic Sequence. Explicit formula . Recursive formula . Arithmetic Series. Geometric Sequences. Explicit formula . Recursive formula Geometric Series. Arithmetic mean. Ex.1) Find arithmetic mean of 5 and 10. 7.5 Ex. 2) the 2 arithmetic mean of 6 and 12. 8, 10. Ex 3) the 3 arithmetic mean of 8 and 16. 10, 12 ...

    • [DOC File]Pre– Calculus 11 Ch 1: Sequences and Series Name

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      Arithmetic Sequences. Objectives: • deriving a rule for determining the general term of an arithmetic sequence • determining t. 1, d, n, or t. n. in a problem that involves an arithmetic sequence • describing the relationship between an arithmetic sequence and a linear function • solving a problem that involves an arithmetic sequence

    • [DOC File]Arithmetic Sequences

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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 d. It's not too difficult to show that

    • [DOC File]Arithmetic and Geometric Sequences

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      Arithmetic and Geometric Sequences. A sequence is a list of numbers or objects, called terms, in a certain order. In an . arithmetic sequence, the difference between one term and the next is always the same. This difference is called a . common difference. The common difference is added to each term to get the next term. 2, 5, 8, 11, 14, …

    • [DOC File]Sequences and series Worksheet 7 - Jacaranda

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      The 10th term in an arithmetic sequence is 8 and the 4th term is (4. Determine the first term a. 4 Find the sum to first 8 terms of the arithmetic sequence tn:{(14, (12, (10, …}. 2 Maths Quest C Year 11 for Queensland Chapter 9 Sequences and series WorkSHEET 9.1 3

    • [DOC File]Arithmetic Sequences - St. Francis Preparatory School

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      Arithmetic Sequences. Definition: An arithmetic sequence is a sequence in which each term, after the first, is the sum of the preceding term and a common difference. An arithmetic sequence can be represented by a1, a1 +d, a1 + 2d, …. In the sequence 2, 5, 8, ….. the common difference is 3.

    • [DOC File]Sequences and Series Test:

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      I.Arithmetic Sequences and Series- formulasfor nth term, and 2 formulas for sum of n terms. 1) determine whether a sequence is arithmetic. 2) Find missing values: a1, d, n, an. 3) Word problems involving arithmetic sequences and sums. 4) Arithmetic mean between 2 numbers . 5) word problems- determine a1, d, n, an , Sn

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