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2 years ago

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

1 answer:

6 0

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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