Final answer:
The series follows a pattern of alternating subtraction and addition of numbers. The sequence is 13, 7, 10, 4, 7, and the next number is determined by subtracting 6 from 7 which gives 1. Therefore, the correct answer is option b) 10.
Step-by-step explanation:
The number that should come next in the series 13, 7, 10, 4, 7 is c) 1.
The given series is: 13, 7, 10, 4, 7. It seems like the series alternates between subtracting 6 and adding 3. Let's continue this pattern to find the next number:
13 - 6 = 7
7 + 3 = 10
10 - 6 = 4
4 + 3 = 7
So, the next number in the series is 10 (7 - 6 = 1, 1 + 3 = 4, 4 - 6 = -2, -2 + 3 = 1, 1 - 6 = -5, -5 + 3 = -2, -2 - 6 = -8, -8 + 3 = -5, -5 - 6 = -11, -11 + 3 = -8). Therefore, the correct answer is option b) 10.