1. Section 12.1 Sequences and Section 12.2 Arithmetic Sequences
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2. 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.
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9. 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.
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10. Write down the first five terms of the following recursively defined sequence.
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11. Write down the first five terms of the following recursively defined sequence.
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18. Arithmetic Sequence
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19. 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, . . .
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21. Find the twenty fourth term of the arithmetic sequence:
–3, 0, 3, 6, . . .
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24. Find the sum of the first n terms of the sequence {4n + 2}
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25. Find the sum: … + 122
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26. 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
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