Download Sketch the next figure in the pattern

Honors Geometry Homework: Section 1.1 Patterns NMV
Sketch the next figure in the pattern.
1.
2.
Describe, in words, a pattern for the sequence of numbers and write the next two terms,
3. 1, 4, 7, 10, . . .
4. 10, 5, 2.5, 1.25, . . .
5. 1, 11, 121, 1331, . . .
6. 5, 0, –5, –10, . . .
7. 256, 16, 4, 2, . . .
8. 1, 3, 6, 10, 15, . . .
9. 7, 9, 13, 19, …
10. 1.1, 1.01, 1.001, 1.0001, . . .
11. 1, 1, 2, 3, 5, 8, 13, 21, . . .
How many blocks are in the next object?
12.
13.
Use the pattern shown at the right to answer questions 14-16. Each square is 1 unit by 1 unit.
14. Find the perimeter (the distance around) each figure.
1
15. Describe a pattern between the figure number and its
perimeter.
2
3
4
16. Use your description from problem 15 to predict the
distance around the 58th figure.
OVER
Section 1.1 Homework Pg. 2 NMV
In problems 17 – 20, show the conjecture is FALSE by finding a counterexample.
17. All prime numbers are odd.
18. The sum of 2 numbers is always greater than the
larger number.
19. If the product of two numbers is even, then
the two numbers must be even.
20. The square root of a number x is always less than x.
If you draw points on a circle and then connect every pair of points, the circle is divided into a number of
regions as shown.
# of points 2 3
4
5
6
# of regions 2 4 _____ _____ _____
2 regions
4 regions
? regions
21. Fill in the table for the case of 4 points. Draw a circle with 5 points and complete the table. Predict the
number of regions for 6 points. Test your conjecture by drawing a circle with 6 points. What do you notice?