Use inductive reasoning to write the five square numbers that follow 25

If we observe the square numbers series, we can understand a pattern:

1,4,9,16,25.

In other words, we have the following

1+3=4

4+5=9

9+7=16

16+9=25

In this pattern, we added 3,5,7 and 9 respectively to the previous number. In this way, to get the next numbers, we need to add 11,13,15,17 and 19 respectively to get the answer to previous number.

25+11=36

36+13=49

49+15=64

64+17=81

81+19=100

So, the five square numbers that follow 25 are 36, 49, 64, 81, 100.

answer

36, 49, 64, 81, 100.