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Teaching Algebra with Manipulatives

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Sequences<br />

NAME ______________________________________________ DATE ____________ PERIOD ____<br />

Mini-Project<br />

(Use <strong>with</strong> <strong>Algebra</strong> 2, Lesson 11-1)<br />

Fill in the missing terms for each infinite sequence.<br />

1. 3, 7, 11, _____, 19,... 2. 4 3 , _____, 3 4 , 9<br />

,...<br />

16<br />

3. 3, 6, 12, _____, 48,... 4. 175, _____, 7, 7 5 ,...<br />

5. _____, 3, 1,... 6. 10, 5, _____, 5, 10,...<br />

7. 2, _____, 18, 32,... 8. 2, 4, 12, _____, 240,...<br />

Arrange your answers for Exercises 1–8 to form a special<br />

sequence of eight numbers. Then list the next three terms of your<br />

sequence.<br />

_____, _____, _____, _____, _____, _____, _____, _____,<br />

List the next three terms of the sequence.<br />

_____, _____, _____<br />

For each of the following n n square grids, find the total number<br />

of rectangles formed.<br />

9. ___________________ 10. ___________________ 11. ___________________<br />

12. Use the results for Exercises 9–11 to write a rule to predict how many<br />

rectangles are formed by a 4 4 grid, a 5 5 grid, and so on.<br />

© Glencoe/McGraw-Hill 282 <strong>Teaching</strong> <strong>Algebra</strong> <strong>with</strong> <strong>Manipulatives</strong>

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