Write the equation for the following relation. Include all of your work in your final answer. \[Q=\left\{(x, y):(2,8),\ (3,27),\ (4,64),\ (5,125),\ ...\right\}\]

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.