Final answer:
The pattern for the 1st difference of the sequence is found by subtracting each number from the following one, resulting in increments of 4 each time (10, 14, 18, 22).
Step-by-step explanation:
To find the pattern for the 1st difference of the sequence 3, 13, 27, 45, 67, we calculate the difference between each subsequent pair of numbers.
- Difference between 13 and 3 = 10
- Difference between 27 and 13 = 14
- Difference between 45 and 27 = 18
- Difference between 67 and 45 = 22
The pattern for the 1st difference increases by 4 each time (10, 14, 18, 22), so each term is increased by 4 more than the previous term's increase.