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LESSON PLANNING<br />

Vocabulary<br />

arithmetic sequence<br />

common difference<br />

arithmetic mean<br />

series<br />

summation notation<br />

Extra Resources<br />

Reteaching 9.2<br />

Extra Practice 9.2<br />

Enrichment 9.2<br />

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Answer to Ongoing Assessment<br />

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Yes, the pattern is an arithmetic sequence with a common difference of 0.6.<br />

The next 3 terms of the sequence are 4.0, 4.6, and 5.2.<br />

Assignment<br />

In-class practice: 1–5<br />

Homework: 6–34<br />

Math Applications<br />

Exercises 5, 9, 11, and 12 from<br />

pages 422–429<br />

START UP<br />

Write the following sequences on<br />

the board.<br />

a) 1, 3, 5, 7, 9, 11 . . .<br />

b) 4, 9, 16, 25, 36 . . .<br />

c) 12, 9, 6, 3, . . .<br />

d) 3, 9, 27, 81, 243, . . .<br />

Tell students that sequences a and<br />

d are called arithmetic sequences,<br />

but that sequences b and c are<br />

not. Ask students to deduce<br />

the definition of an arithmetic<br />

sequence.<br />

INSTRUCTION<br />

Tell students that an arithmetic<br />

sequence can be defined both<br />

using a recursive formula and<br />

using an explicit formula.<br />

Example 1 Ask students if<br />

this sequence implies that the<br />

distance between bus stops is the<br />

same. (no)<br />

9.2 Arithmetic Sequences and Series 397

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