To find the next number in the series 13, 18, 16, 21, 19, we need to analyze the pattern between the numbers.
Let’s look at the series closely:
- The sequence starts with 13, and the next number is 18. The difference between these two numbers is:
- 18 – 13 = 5
- The next number is 16, and it follows 18. Here, we notice the difference is:
- 16 – 18 = -2
- Now looking at 16 and the next number, which is 21, we see:
- 21 – 16 = 5
- Finally, from 21 to 19, we have:
- 19 – 21 = -2
It appears that the differences follow a repeating pattern of adding 5 and then subtracting 2. So:
- 13 to 18 adds 5,
- 18 to 16 subtracts 2,
- 16 to 21 adds 5,
- 21 to 19 subtracts 2.
If we follow this pattern, the next operation after 19 should be to add 5:
- 19 + 5 = 24
Therefore, the next number in the series is 24.