Question

PLEASE HELP!!

Which of the following functions represents f(n), the number of small squares in figure n?

A. f(n) = (n + 1)^2 – 1

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

C. f(n) = n^2 – 1

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

Answer 1

• A. f(n) = (n + 1)^2 – 1

Explanation:

Figure 1

• 3 = 4 - 1 = 2² - 1 = (1 + 1)² - 1

Figure 2

• 8 = 9 - 1 = 3² - 1 = (2 + 1)² - 1

Figure 3

• 15 = 16 - 1 = 4² - 1 = (3 + 1)² - 1

The function is:

• f(n) = (n + 1)² - 1