Question
Make and test a conjecture about the square of odd numbers.
Hint:
Take general form and check.
The correct answer is: we get that the square of an odd number is always odd.
Complete step by step solution:
The square of an odd number is always an odd number.
We know that the odd number is always of the form 2n+1
Let some N = 2n + 1
On squaring both the sides, we get 
On taking common from RHS part, we get 
So we get that the square of an odd number is always odd.
Note: We can take the form of N = 2n - 1 and then find the square and then also
we get that the square of an odd number is always odd.
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