The pattern shows Pythagorean triplets arranged in groups of three: (3,4,5), (5,12,13), and (6,8,10). Each triplet satisfies a² + b² = c², where the third number is the hypotenuse. For 6-8-10: 6² + 8² = 36 + 64 = 100 = 10², making 10 the correct completion of this sequence.