Answer:
1, 4, 9, 16, 25, 36
Step-by-step explanation:
Hi! So when you're looking at questions like these, you're normally going to want to find a pattern. So lets look at this problem. When you jump from the number 1 to the number 4, you increase by 3. When you jump from the number 4 to the number 9, you increase by 5. When you jump from the number 9 to the number 16, you increase by 7.
Based on this information, you can conclude that the pattern is that it is increasing by odd numbers, and the odd number is increasing by 2 each time.
Now that we know the information, we can start finding the next terms. Since the jump from 9 to 16 was 7, we know that the next number is going to be 9 away from 16, which is 25.
Now that we have that term, we can find the next. We know that the jump from 16 to 25 is 9, so we know that the next term will be 11 away from 25, which is 36.
You could keep doing this forever.
Hope this helps!!
