Mathematrics
posted by Brittany .
Each diagram in the sequence is obtained by drawing of a 1 unit square on each side that forms the perimeter of the previous diagram, the 1st digram contains (1) square, the 2nd diagram (4) squares and the 3rd diagram (13) squares, I would like to know how to find how many squares will be in the fourth diagram? and what are the appropriate values for the rows marked 1st, 2nd and 3rd?

shouldnt the 2nd diabram have 5 squares.
I believe the CHANGE in the number of squares grows by 4 each time. So, 1, 5, 13, 25, and so on. 
or
the total number of squares after n stages is
2n^2  2n + 1
test: if n= 4
we get 2(16)  8 + 1 = 25
as economyst predicted
Respond to this Question
Similar Questions

Science
Do I have these correct according to the HR Diagram? 
Math
Each diagram in a sequence of 3 diagrams is obtained by drawing a 1 unit square on each side that forms the perimeter of the previous diagram, for example Diagram 2 is obtained by drawing a 1 unit square of the four sides of Diagram … 
Math
Which numbers are perfect squares? A) 64 b)900 c)120 d)1000 e)100 F) 10 000 How do u know each number is a perfect square? 
math
Area A sequence of smaller squares is formed by connecting the midpoints of the sides of a larger square. (a) If the area of the largest square is 1 square unit, determine the first five terms of a sequence that describes the area … 
math
Area A sequence of smaller squares is formed by connecting the midpoints of the sides of a larger square. (a) If the area of the largest square is 1 square unit, determine the first five terms of a sequence that describes the area … 
Math
Elsa had a rubber disc that was red on one side and blue on the other. She tossed this disc 3 times. Draw a diagram showing all the possible outcomes she could get in 3 tosses of the same rubber disc 1st toss can be red or blue 2nd … 
Science
I canâ€™t put the diagram (picture) here so... I type down: Hope it help! left side there is an arrow pointing to the square, it measures 5 N (big) In the middle (between the arrows) there is a square Right side there is an arrow pointing … 
geometry
Write the conditional statement that the Venn diagram illustrates. The Venn diagram includes a large circle and it says quadrilateral and a small circle in it that says squares. Would this be the answer: If quadrilaterals are a four … 
Math
In the accompanying diagram, the perimeter of isosceles triangle MNO is equal to the perimeter of square ABCD. If the sides of the triangle are represented by 4x+4 , 5x3, 17 and one side of the square is represented by 3x, find the … 
Math
Use the diagram to show that x square 2xr+w square =0 (use diagram, and Pythagorean theorem to get this equation)