Question

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

Answer 1

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.