Example of an arithmetic sequence
Arithmetic Sequence Full Lesson (Examples & Problems)
To test whether a given sequence is an arithmetic sequence, determine whether a common difference exists between every pair of successive terms. For example, 4, 8, 9, 16, 32, …. is not an arithmetic sequence because the difference between the first two terms is 4, but the difference between the second and third terms is 8.
[DOC File]ARITHMETIC AND GEOMETRIC SEQUENCE WORD PROBLEM …
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Using same method for non Arithmetic Sequence example -1, 1, -1, 1, -1, 1… Objective 1.2. 6. Explain the first term, common difference using PPT as following, First term: the first number in the sequence, it is usually notated by a1. Common difference: In the Arithmetic Sequence the number which is added to make the next number.
[DOC File]Aithmetic Sequence;
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arithmetic sequence. is a sequence in which the terms differ by the same constant amount. For example: 3, 5, 7, 9, . . . is an arithmetic sequence. A geometric sequence is a sequence in which the ratio of successive terms is a constant. For example: 2, 4, 8, 16, . . . is a geometric sequence. A sequence may also be defined using previously ...
[DOC File]Arithmetic and Algebraic Concepts
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An example of an arithmetic sequence is ( The formula associated with an arithmetic sequence is ( , where ..... The formula associated with linear relations is ( ( so the similarities are .... Formula Associated with Geometric Sequences . An example of a geometric sequence is (
[DOC File]Notes: Number Patterns – Arithmetic Sequences
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The n th term of an arithmetic sequence with the first term a 1 and common difference d is given by: a n = a 1 + n-1 d On Reference Sheet! Example 2: Write a rule for the n th term of the sequence.
[DOC File]Working with Arithmetic & Geometric Sequences
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Use an arithmetic sequence to solve an application problem. Motivation & Warm up discussion: Begin by considering a real-life example that generates numbers that form an arithmetic sequence. Example: [2 minutes] A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on ...
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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:
[DOC File]Arithmetic Sequences
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Example 3: Let n = the term number in the sequence and an = the value of the nth term of the sequence. (a) Find the first, fifth, and tenth terms of the sequence that has the rule . (b) Find the first, sixth, and twelfth terms of the sequence that has the rule . (c) Find the first, fourth, and eleventh terms of the sequence that has the rule .
[DOC File]Arithmetic and Geometric Sequences
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ARITHMETIC AND GEOMETRIC SEQUENCE WORD PROBLEM EXAMPLES. All final solutions MUST use the formula. A recovering heart attack patient is told to get on a regular walking program. The patient is told to walk a distance of 5 km the first week, 8 km the second week, 11 km the third week and so on for a period of 10 weeks. At that point the patient ...
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