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Section 12.1 Sequences and Section 12.2 Arithmetic Sequences
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Write the first several terms of a sequence.
Objectives Write the first several terms of a sequence. Write the terms of a sequence defined by a recursive formula. Use summation notation. Find the sum of a sequence algebraically. Determine if a sequence is arithmetic. Find a formula for an arithmetic sequence. Find the sum of an arithmetic sequence. Copyright © 2013 Pearson Education, Inc. All rights reserved
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Sometimes a sequence is defined by assigning a value to the first term and specifying the nth term by a formula that uses preceding term(s). This is called a recursive formula. Copyright © 2013 Pearson Education, Inc. All rights reserved
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Write down the first five terms of the following recursively defined sequence.
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Write down the first five terms of the following recursively defined sequence.
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Arithmetic Sequence Copyright © 2013 Pearson Education, Inc. All rights reserved
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Show that the sequence is arithmetic
Show that the sequence is arithmetic. List the first term and the common difference. (a) 4, 2, 0, -2, . . . Copyright © 2013 Pearson Education, Inc. All rights reserved
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Find the twenty fourth term of the arithmetic sequence:
–3, 0, 3, 6, . . . Copyright © 2013 Pearson Education, Inc. All rights reserved
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Copyright © 2013 Pearson Education, Inc. All rights reserved
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Find the sum of the first n terms of the sequence {4n + 2}
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Find the sum: … + 122 Copyright © 2013 Pearson Education, Inc. All rights reserved
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Homework 12.1 # 13, 19, 21, 29, 35, 37, 45, 53, 63, 65, 75, 77 12.2 # 7, 11, 17, 19, 23, 27, 29, 37,41, 49 Copyright © 2013 Pearson Education, Inc. All rights reserved
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