Answer:
See below.
Explanation:
Problem A
I have no tool that will draw this easily but I can direct you to do it.
- Draw 4 bricks separated by 3 spaces on the top row of bricks. They should be going horizontally.
- Draw 9 bricks going vertically. They should not touch the bricks in the first row.
- Draw 4 bricks going horizontally separated by 3 spaces just like the ones drawn in step one.
Problem B
The general formula for the number of bricks in any pattern (n) is
4n + 1 where n is the pattern number. Try some values.
n =3
4n + 1
4*3 + 2
13
n = 4 which is the one you just drew
4n + 1
4*4 + 1
16 + 1
17
n = 8
4n + 1
4*8 + 1
32 + 1
33
Problem C
4n + 1 = 49 Formula
4n -1 = 49 - 1 Subtract 1 from both sides
4n = 48 Divide by 4
4n/4 = 48/4
n = 12 Answer
Pattern 12 will have 49 bricks
Problem D
The general formula we have been using all along is the answer.
4n + 1