a) Pattern number 6 requires 24 sticks.
b) Pattern number n requires 4n sticks.
The pattern appears to be based on squares made from sticks. Here's how to find the number of sticks needed for different patterns:
a) Pattern number 6:
1. Each square in the pattern requires 4 sticks (2 for the top and 2 for the bottom).
2. Pattern number 6 has 6 squares.
3. Therefore, pattern number 6 requires 6 squares * 4 sticks/square = 24 sticks.
b) Pattern number n:
1. Following the same logic, pattern number n will have n squares.
2. Each square requires 4 sticks.
3. Therefore, pattern number n requires n squares * 4 sticks/square = 4n sticks.