Question

Maya claims that 8n is the number of dots in figure n. Kiana claims that the number of dots in figure n is given by 4(n+1)

Consider the square arrangements below in relation to the girls' expressions, where n represents the figure number.
Determine whether Maya, Kiana or both girls are correct in their given expressions. Justify your response.

The evaluation of your response will be based on the following criteria.

Answer 1

Answer:

Kaya's answer is correct.

Step-by-step explanation:

The number of dots in successive figures are

8, 16, 24.

So Kaya's solution 8n is correct.

When n = 1, first square = 8*1 = 8 dots

n = 2: second square = 8*2 = 16

n = 3, 3rd square = 8*3 = 24.

If I have interpreted Kianna's formula correctly

for n = 1, then the number of dots = 2(1+ 1)^2 - 2(1 - - 1)^2

= 0.