Posted by **Brittany** on Wednesday, June 17, 2009 at 2:14pm.

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?

- Mathematrics -
**economyst**, Wednesday, June 17, 2009 at 4:23pm
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.

- Mathematrics -
**Reiny**, Wednesday, June 17, 2009 at 5:30pm
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

## Answer This Question

## Related Questions

- Math - Each diagram in a sequence of 3 diagrams is obtained by drawing a 1 unit ...
- Science - Do I have these correct according to the H-R Diagram? Hot (blue stars...
- Math - In the accompanying diagram, the perimeter of isosceles triangle MNO is ...
- Science - I canâ€™t put the diagram (picture) here so... I type down: Hope it help...
- Math - Elsa had a rubber disc that was red on one side and blue on the other. ...
- Math - Use the diagram to show that x square- 2xr+w square =0 (use diagram, and ...
- Math - Which numbers are perfect squares? A) 64 b)900 c)120 d)1000 e)100 F) 10 ...
- geometry - Write the conditional statement that the Venn diagram illustrates. ...
- math - Area A sequence of smaller squares is formed by connecting the midpoints ...
- math - Area A sequence of smaller squares is formed by connecting the midpoints ...

More Related Questions