To identify a pattern in the given list of numbers, we look for a consistent relationship between consecutive numbers in the list. The list given is as follows:
1, 5, 25, 125, 625
Let's examine the relationship between each pair of consecutive numbers.
- From 1 to 5: 1 is multiplied by 5 to get 5.
- From 5 to 25: 5 is multiplied by 5 to get 25.
- From 25 to 125: 25 is multiplied by 5 to get 125.
- From 125 to 625: 125 is multiplied by 5 to get 625.
It is clear that each number in the sequence is being multiplied by 5 to get the next number. This multiplication by 5 is consistent throughout the given list.
Now, we apply this pattern to find the next number after 625. To find the next number, we multiply 625 by 5.
625 * 5 = 3125
Therefore, the next number in the sequence is 3125.
