Find the next three numbers in this sequence.

1, 4, 9, 16 ...

Answer: 25, 36, and 49

Step-by-step explanation: To find the next three terms in the the following pattern, let's begin by studying the pattern.

Notice that the difference between 1 and 4 is positive 3, the difference between 4 and 9 is positive 5, and the difference between 9 and 16 is positive 7.

Since the differences are increasing by 2 each time, we can find the next term in the pattern by adding 16 + 9 to get 25. Next, we will add 25 + 11 which gives us 36. Then, 36 + 13 gives us 49.

Thus, the next three terms in the pattern are 25, 36, and 49.