Question

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Figure 1- 6 blocks
figure 2- 11 blocks
Figure 3- 18 blocks
Which of the following functions represents f(n), the number of small squares in figure n?
a.f(n)=4n^2+2
b.f(n)=n^2+5
c.f(n)=(n+1)^2+2
d.f(n)=(n+1) (n+2)

Answer 1

Answer:

c. f(n) = (n+1)^2 + 2

Step-by-step explanation:

It is c. because...

f(n) = (1+1)^2 + 2

        2^2 + 2

        4 + 2 = 6 (first term)

f(n) = (2+1)^2 + 2

        3^2 + 2

        9 + 2 = 11 (second term)

f(n) = (3+1)^2 + 2

        4^2 + 2

        16 + 2 = 18 (third term)