To find the next number in the sequence 12, 18, 26, 36, 48, we observe that the differences between consecutive numbers in the sequence increase by 2 each time. By adding the next difference to the last number in the sequence, we find that the next number is 62.
The given number sequence is 12, 18, 26, 36, 48. To find the pattern, we observe the differences between consecutive numbers:
18 - 12 = 6
26 - 18 = 8
36 - 26 = 10
48 - 36 = 12
We can see that the differences increase by 2 each time. So, the next difference would be 12 + 2 = 14. Now, we can find the next number in the sequence by adding 14 to the last number in the sequence:
48 + 14 = 62
Therefore, the next number in the sequence is 62.