1) Consider the Sequence of Figures Below Made from Triangles

CCM1A HW 3.1 NAME:______

1) Consider the sequence of figures below made from triangles.

a) Complete the table below for the first five figures. b) Write a NOW-NEXT equation that models this pattern.

Figure
Number / Perimeter
1
2
3
4
5

c) Find the perimeter of the 10th figure.

d) Which number figure has a perimeter of 51?

2) List the first six values generated by the recursive routine below. Then write the routine as a NOW-NEXT equation.

3) Write a NOW-NEXT equation for each sequence. Then use your equation to find the 8th term of each sequence.

a)7.8, 3.6, -0.6, -4.8, . . . b) -9.2, -6.5, -3.8, -1.1, . . .

c) 1, 3, 9, 27, . . . d) 36, 12, 4, , . . .

HW 3.2
1) Solve each equation. Show all work! (on the back of the HW)

2) Match the iterative routine in the first column with the equation in the second column.

3) For each of the following recursive number sequences, find a pattern. Write a NOW-NEXT equation for the pattern. (Don’t forget to include the starting value!) Then write the next term in the sequence.

a) 3, 7, 11, 15, 19, ...

b) 1, 2, 4, 8, 16, ...

c) 5, 8, 11, 14, 17, ...

HW 3.3

Our input-output machine takes a number [x], operates on the number, and changes it to a new number [y]. Below are some input-output machines, the input [x], and the output [y]. Can you figure out the rule for what the machine did to the input?

HW 3.4

Find the first five terms for each recursive sequence.

1)START = -2

NEXT = NOW +7

2)START = 1

NEXT = NOW*3

3)START = 6

NEXT = NOW*2 + 4

Write the function rule for each table:

Input / Output
2 / 8
3 / 12
6 / 24
7 / 28

4. 5. 6.

Input / Output
-3 / 3
0 / 0
4 / -4
6 / -6
Input / Output
5 / 3
0 / -2
-2 / -4
-7 / -9

7. Solve: 8. Solve: 9. Solve:

10. A triangle has side lengths of 5, 9, and 8. Is the triangle a right triangle? Why or Why not?