Find the next three terms in each sequence.
Describe the pattern.- 1, 2, 4, 7, 11, 16,... 14. 1, 2, 6, 24, 120,... 15. 1, 1, 2, 2, 3,...
- 1, 2, 6, 7, 21, 22, 66,... 17. 1, 3, 2, 6, 5, 15,... 18. 1, 3, 6, 4, 8, 10,...
Use the arrangement of dots on page 512 to complete
each table. Look for a pattern.
- What is the tenth triangular number? 22. What is the twentieth square number?
5th?
6th?
7th?
8th?Number Number of DotsTriangular Numbers5th?
6th?
7th?
8th?Number Number of DotsSquare Numbers- For the past 4 years, Ariel has grown
2 in. every year. He is now 16 years
old and is 5 ft 10 in. tall. He figures
that when he is 22 years old, he will
be 6 ft 10 in. tall. What would you tell
Ariel about his conjecture? - The first three pentagonal
numbers are shown. Draw a
diagram to represent the next
pentagonal number.
24. Cynthia rides a bus to school. On the
first day the trip to school took 25 min,
on the second day, 24 min, on the third
day, 26 min, and on the fourth day, 25
min. What conjecture would you make
about the time for Cynthia’s trip to
school?
Draw the next figure in each sequence.1 5 128206-2_512-513 3/23/06 4:48 AM Page 513