Answer:
36 squares.
Step-by-step explanation:
Number of squares in each step is triangular number. This form a triangular series.
1 , 3 , 6 , 10........
Number of squares in each step is given by
[tex]\sf \dfrac{n*(n+1)}{2}[/tex] here , n is the step or term.
n = 8
[tex]\sf Number \ of \ squares \ in \ 8^{th} \ step = \dfrac{8 * (8+1)}{2}[/tex]
[tex]\sf = \dfrac{8*9}{2}\\\\ = 4*9\\\\=36 \ squares[/tex]
