The first figure contains 2 dots, the second 6 dots, and the third 12 dots. If the pattern continues, how many dots would the tenth figure contain?
1^2 +1
2^2 +2
3^2 +3
.
10^2 + 10 = 110 dots
Nice, EP !!!!
Also note that
1*2 = 2
2*3 = 6
3*4 = 12
So....it appears that the number of dots in the nth figure = (n) (n + 1)
(10) (10 + 1) = 10 * 11 = 110