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LESSON PLANNING<br />

Vocabulary<br />

geometric sequence<br />

common ratio<br />

geometric mean<br />

geometric series<br />

Extra Resources<br />

Reteaching 9.3<br />

Extra Practice 9.3<br />

Assignment<br />

In-class practice: 1–5<br />

Homework: 6–30<br />

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R.E.A.C.T. Strategy<br />

Applying<br />

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Investigate with students some real world applications of geometric sequences<br />

such as compound interest and radioactive decay. Use a spreadsheet to quickly<br />

generate a large number of terms for the sequences. In the case of compound<br />

interest, point out to students that the interest rate is the common ratio and<br />

the opening balance is the first term of the sequence.<br />

Math Applications<br />

Exercises 8, 10, and 13 from<br />

pages 422–429<br />

START UP<br />

Students have been exposed to<br />

geometric sequences when they<br />

studied exponential functions in<br />

Chapter 9. Make a table of values<br />

for the function f(x) = 2 x and<br />

point out the pattern that exists in<br />

the second column of the table.<br />

INSTRUCTION<br />

Point out to students that neither<br />

the common ratio nor the first<br />

term for a geometric sequence<br />

can be zero. Ask students to<br />

explain the effect that a negative<br />

common ratio would have on a<br />

geometric sequence.<br />

9.3 Geometric Sequences and Series 403

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