(i) ( 9, 16, 23, \ldots )

Common difference ( d = 16 - 9 = 7 )

Next two terms: [ 23 + 7 = 30, \quad 30 + 7 = 37 ]

Answer: ( d = 7 ); next terms ( 30, 37 )

(ii) ( 5, 5 + \sqrt{2}, 5 + 2\sqrt{2}, \ldots )

Common difference ( d = (5 + \sqrt{2}) - 5 = \sqrt{2} )

Next two terms: [ 5 + 2\sqrt{2} + \sqrt{2} = 5 + 3\sqrt{2}, \quad 5 + 3\sqrt{2} + \sqrt{2} = 5 + 4\sqrt{2} ]

Answer: ( d = \sqrt{2} ); next terms ( 5 + 3\sqrt{2},\ 5 + 4\sqrt{2} )