Question

A fruit display in a market is in the shape of a pyramid with one peice of fruit at the top. Each layer below the top forms a square shape with one additional piece of fruit per side. If a total of 55 pieces of fruit are used , and a single piece of fruit at the top counts as a layer,how many layers of fruit will there be? PLEASE SHOW WORK :]

Answer 1

row total # of fruit = current row # + previous # of total fruit
0 0
1 0 1 =1+0
2 00 3 =2+1
3 000 6 =3+3
4 0000 10 =4+6
... ... ...
9 45 =9+(row#8total)
10 55 =10+45

Therefore 10 total layers