Final answer:
The pattern for the 1st difference of the sequence 7, 16, 31, 52, 79 is found by subtracting each number by its predecessor, resulting in 9, 15, 21, 27, which corresponds to option d).
Step-by-step explanation:
To find the pattern for the first difference for the sequence 7, 16, 31, 52, 79, we need to subtract each number with the one before it:
- 16 - 7 = 9
- 31 - 16 = 15
- 52 - 31 = 21
- 79 - 52 = 27
So, the pattern for the first difference is 9, 15, 21, 27, which matches option d) 9, 15, 21, 27.