Sorry, no cool dates this week, but do you know where the term “Square” of a number comes from?

Check out the following square of numbers:

7    7    7    7

5    5    5    7

3    3    5    7

1    3    5    7 

 

1    2    3    4

 

The squares of the numbers in the row set apart: 1×1 = 1;  2×2 = 4;  3×3 = 9;  4×4 = 16

 

Look at the bottom row in the square: 

1  = 1 = 1×1

1 + 3  = 4 = 2×2

1 + 3 + 5  = 9  = 3×3

1 + 3 + 5 + 7  = 16 = 4×4

 

What’s the number in the next row and column of the square?    (9)

What’s the next sum in the bottom row of the (larger) square?    (1+2+3+4+5 = 25 = 5×5)

What is today’s date?  5/25