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Judging by the way the pattern goes,
1+3=4
4+5=9
9+7=16
16+9=25
25+11=36

Then the next 3 numbers would be: 
36+13= 49
49+15=64
64+17=81

The next three numbers are 49, 64 and 81

The pattern is adding 2 to each number. So 3 is added to 1 to make 4. The next number added to 4 would be 5, so on so forth. 
TheBlueFox

Answer: 49, 64, and 81

Step-by-step explanation: To find the next three terms in this pattern, 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, the difference between 9 and 16 is positive 7, the difference between 16 and 25 is positive 9, and the difference between 25 and 36 is positive 11.

Since the differences are increasing by 2 each time, we can find the next term in the pattern by adding 36 + 13 to get 49. Next, we will add 49 + 15 to get 64. Then, we will add 64 + 17 to get 81.

Thus, the next three terms in the pattern are 49, 64, and 81.

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