Question

Luis uses cubes to represent each term of a pattern based on a recursive function. The recursive function defined is f(n + 1) = f(n) + 4, where n is an integer and n ≥ 2. The number of cubes used in each of the first two figures is shown below. How many cubes does Luis use in the third, fourth, and fifth figures of the pattern? Fill in the blanks.
Figure 1: 9 cubes

Figure 2: 13 cubes

Figure 3:
cubes

Figure 4:
cubes

Figure 5:
cubes

Answer 1

Answer:

• 17 cubes
• 21 cubes
• 25 cubes

Step-by-step explanation:

Given function

• f(n + 1) = f(n) + 4

The first two values are given

• f(1) = 9  
• f(2) = 13

The following terms are

f(3) = 13 + 4 = 17

• Figure 3 = 17 cubes

f(4) = 17 + 4 = 21

• Figure 4 = 21 cubes

f(5) = 21 + 4 = 25

• Figure 5 = 25 cubes

Answer 2

Fill the Blanks

Answers:

Figure 3: 17 Cubes

Figure 4: 21 Cubes

Figure 5: 25 Cubes

Hopes This Helps :)