2.2 Extra Practice

1)

figure 1: 2 stars figure 2: 4 stars figure 3: 6 stars figure 4: 8 stars

a. Describe the patterns in words. Be as specific as you can

 

 

 

b. Determine a recursive formula for the number of objects in Figure n

 

 

 

c. Determine an explicit formula for the number of objects in Figure n

 

 

2)

figure 1: 1 dog figure 2: 3 dogs figure 3: 5 dogs figure 4: 7 dogs

a. Describe the patterns in words. Be as specific as you can

 

 

 

b. Determine a recursive formula for the number of objects in Figure n

 

 

 

c. Determine an explicit formula for the number of objects in Figure n

 

 

3)

figure 1: 7 squares figure 2: 13 squares figure 3: 19 squares figure 4: 25 squares

a. Describe the patterns in words. Be as specific as you can

 

 

 

b. Determine a recursive formula for the number of objects in Figure n

 

 

 

c. Determine an explicit formula for the number of objects in Figure n

 

 

4)

figure 1: 1 square figure 2: 4 squares figure 3: 9 squares

a. Describe the patterns in words. Be as specific as you can

 

 

 

b. Determine a recursive formula for the number of objects in Figure n

 

 

 

c. Determine an explicit formula for the number of objects in Figure n

 

 

 

definition