Concept:The sequence follows a fixed pattern: square the first number, then multiply the result by 2 twice.Explanation:For 6−36−72−144:6×6=3636×2=7272×2=144For 7−49−98−196:7×7=4949×2=9898×2=196So the pattern is: square, multiply by 2, multiply by 2.Check the given options with this pattern:Option A: 15×15=225, then 225×2=450î€ =625, so it fails.Option B: 5×5=25, 25×2=50, then 50×2=100î€ =110, so it fails.Option C: 8×8=64, 64×2=128, then 128×2=256î€ =226, so it fails.Option D: 12×12=144, 144×2=288, then 288×2=576, which follows the exact pattern.Answer:Option D: 12−144−288−576