Determine what the next equation would be, and verify that it is indeed a true statement. Describe the pattern.

9x9=81
99x99=9801
999x999=998,001
I know the next sequence is 9999x9999=99980001

I just don't know which pattern this is called.

Notice the nine leading increase in number each time by one, and the trailing zeroes increase by one.

Yes, I did notice that as well. I just didn't know the name of that pattern, is it a trailiing pattern?

The pattern in the given equations involves multiplying numbers consisting of only 9's by themselves. It can be observed that for each equation, the number of 9's in each factor increases by 1, and the product is obtained by concatenating the square of the number of 9's with the same number of 9's as the factors.

To verify that the next equation, 9999x9999, is indeed a true statement:

9999 x 9999 = 99,980,001

So, the statement is true, and the pattern is that each factor is formed by repeating the digit 9, and the product is obtained by concatenating the number of 9's with the square of that number, followed by 1.

The pattern in the given equations is called "multiplying a number by itself." In each equation, we are multiplying a number composed of the digit 9 by itself.

To determine what the next equation would be and verify if it is true, we can continue the pattern by multiplying 9,999 with itself. Let's do the calculation:

9,999 x 9,999 = 99,980,001

To verify if this is indeed a true statement, we can use a calculator or do the multiplication manually. The result confirms that the equation is true.

The pattern in this sequence is that each time we increase the number of 9s in both factors by one, the product is obtained by concatenating the squares of the numbers formed by the 9s. For example, in the third equation:

999 x 999 = 998,001

This pattern continues as we increase the number of 9s in each equation.