1. Explain the difference between inductive and deductive reasoning. Then give an example of each.
2. Write a sequence that hass 22 as its fourth term.
3. You Decide. Chi-Yo studies the sequences 1, 2, and 4. She notices that the second number is 1 more than the first, and the third number is 2 more than the second. She concludes that the next number in the sequence is 4 + 3 or 7. Alonso disagrees. He notices that each number is twice the number before it. He says the next number in the sequence is 8. Who is correct? Explain.
4.Refer to the Activity. Suppose the ends of the string are not tied together.
a. The string is looped around the scissors 50 times, and the string is cut. How many pieces will you have?
b. The string is looped around the scissors y times, and the string is cut. How many pieces will you have?
Give the next two items for each pattern.
5.
6. 85, 76, 67, 58, ...
7. 1x + 1, 2x + 1, 3x + 1, 4x + 1, ...
8. Consider the following pattern.
a. Suppose the length of each side of the triangles is 1 unit. What is the perimeter of each figure in the pattern?
b. Draw the next figure in the pattern.What is the perimeter of this figure?
c. What is the perimeter of the tenth figure in this pattern?
d. What is the perimeter of the nth figure in this pattern?
9.a. Copy and complete the following table.
 |
 |
 |
 |
 |
| 4 | 16 |
b. If you found the value of
, what number do you think will be in the ones place? Check you conjecture.
c. Find the number in the ones place for the value of
. Explain your reasoning.