8.2_bzca5e - an Arithmetic Sequence Technology On the TI...

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Section 8.2 Arithmetic Sequences
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Arithmetic Sequences
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The graph of each arithmetic sequence forms a set of discrete points lying on a straight line. An arithmetic sequence is a linear function whose domain is the set of positive integers. If the first term 1 1 of an arithmetic sequence is a ,each term after the first is obtained by adding d, the common difference, to the previous term. This can be expressed recursively as follows: a n n a d - = +
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Example 1 1 If a 10, and a =a 3 where 2 5, find the first 4 terms for this sequence n n n - = +
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The General Term of an Arithmetic Sequence
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Example 5 Find the fifth term, a , of the arithmetic sequence whose first term is 3 and whose common difference is -4.
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The Sum of the First n Terms of
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Unformatted text preview: an Arithmetic Sequence Technology On the TI 83, 84 Calculator: 2nd - STAT (list)-MATH-#5 for Sum 2nd - STAT(list)-OPS-#5 for Seq Then in parenthese type: (expression, X, lower bound, upper bound, increment) Example 20 1 Find the following sum: 3 7 i i = + (a) (b) (c) (d) Write the formula for the general term (the nth term) of the arithmetic sequence. Do not use a recursion formula. 3,6,9,12,15,. .. 3 ( 1)3 ( 1)3 3 2 3 3 n n n n a n a n a n a n = +-=-= + = + (a) (b) (c) (d) 16 1 Find the a term when a 20 and d= 3. = --65 68 70 60----(a) (b) (c) (d) 6 1 Find the following sum: 2 5 i i =- 15 12 6 9-...
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This document was uploaded on 10/26/2011 for the course FKP bmfp at UTEM Chile.

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8.2_bzca5e - an Arithmetic Sequence Technology On the TI...

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