Question

We start with the 1 x 1 square. Then we double each side to obtain a new square. Then we double the side again to obtain even larger square. And so on. Which is a correct statement P about the area A of the n-th square?

a. A=nⁿn
b. A = 4*(2ⁿ)
c. A = (2ⁿ)²
d. A = 2n
e. A = 2ⁿ2ⁿ
f. A = (2n)(2n)
g. A= n/2
h. A = 2ⁿ
i. A = 2(2ⁿ)
j. A = (2ⁿ)/2
k. A=n²

Answer 1

The correct statement about the area A of the n-th square is A=n².

Step-by-step explanation:

The correct statement about the area A of the n-th square is option k. A=n².

We start with a 1 x 1 square. Then we double each side to obtain a new square. Then we double the side again to obtain an even larger square. The area of the larger square is 4 times larger than the area of the smaller square. So, the area of each square is equal to the side length squared, which is represented by the expression n².