Relationship between odd numbers and square numbers

Relationship between odd numbers and square numbers

Do you write and add odd numbers in a row?

Shall we add now?

1 + 3 + 5 + 7 + 9. Find the answer.

Does it say 25?

Adding the first five odd numbers from one gives 25. Isn't this a square of five!

Now start from one and add six odd numbers i.e., up to 11.

1 + 3 + 5 + 7 + 9 + 11 = 36

Isn't 36 to the square of 6!

If we start from one and add seven odd numbers i.e., up to 13 we get 49 which is the square of 7. Please add it if you want.

1 + 3 + 5 + 7 + 9 + 11 + 13 = 49

Have you found it now?

When adding odd numbers starting from one, we count how many odd numbers we add and square that number to get its addition.

We can call this the relationship between odd numbers and squares.

Look at the numbers and see how beautifully they relate to each other.

If the addition of a series of odd numbers is squared like this, then the question arises in your mind, how is the addition of even numbers? Find it. Let's see tomorrow.

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