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31 March, 14:58

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

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  1. 31 March, 16:43
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    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.
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