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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