Answer:
Starting with the number 82 and multiplying by a factor of 3 each time, the sequence increases by 1 incrementally can be represented as:
82 * 3^0 = 82
82 * 3^1 = 246
246 * 3^2 = 738
738 * 3^3 = 2214
2214 * 3^4 = 6642
Therefore, the sequence starting at 82 and multiplying by a factor of 3 each time, increasing by 1 after each multiplication, follows the progression: 82, 246, 738, 2214, 6642.