Final Answer:
The next 4 terms in the pattern 100, 125, 120, 145, 140 is 165, 150, 175, 190.
Step-by-step explanation:
To find the next four terms in the given pattern, let's identify the rule based on the provided sequence:
The sequence is: 100, 125, 120, 145, 140
Looking at the sequence, it seems we add 25 to every alternate number to get the next number in the same position after two steps. To verify, let's inspect the sequence provided:
- 100 increased by 25 becomes 125.
- 125 is not directly followed by a number obtained by adding 25 since the pattern alternates.
- 120 increased by 25 becomes 145.
- 145 is not directly followed by a number obtained by adding 25 since the pattern alternates.
Now we continue the pattern:
- Since 140 is in same position as 120 (both are in the third position after the previous increment), we need to add 25 to 140 to find the next number in the pattern. So, 140 + 25 = 165.
Now we find the next number that increases:
- 165 is like 145 (both are the second number after the last increment), so we skip one and add 25 to the next which is 125 to get the number two places after it in the sequence. So, 125 + 25 = 150.
With the same rule, we find the next two numbers in the pattern:
- 150 like 140 is in the third position, so we add 25 to 150 to find the next number in that position. So, 150 + 25 = 175.
- Next, we add 25 to 165, to get the number two places after it in the sequence. So, 165 + 25 = 190.
Now we have the four terms that follow in the sequence:
165, 150, 175, 190
So, the full updated sequence is:
100, 125, 120, 145, 140, 165, 150, 175, 190