The total number of lights in a triangular rig with n rows is given by the function T (n) as given. Find the number of lights in triangular rigs with 1 to 10 rows.

T (n) = 1/2n^2+1/2n

T (1) = 1/2 (1) ^2 + 1/2 (1) = 1/2 + 1/2 = 1

T (2) = 1/2 (2) ^2 + 1/2 (2) = 1/2 (4) + 1 = 2 + 1 = 3

T (3) = 1/2 (3) ^2 + 1/2 (3) = 1/2 (9) + 3/2 = 9/2 + 3/2 = 12/2 = 6

.

.

.

T (10) = 1/2 (10) ^2 + 1/2 (10) = 1/2 (100) + 5 = 50 + 5 = 55

Therefore, the number of lights in triangular rigs with 1 to 10 rows are: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55