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

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

bobbii · Answer

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justus · Answer

To reflect each term of a pattern based on a recursive function, Luis uses cubes. The function is f(n+1)=f(n)+4.

Number of cubes in figure 3: f(3)=f(2)+4=13+4=
Number of cubes in figure 4: f(4)=f(3)+4=17+4=
Number of cubes in figure 5: f(5)=f(4)+4=21+4=