Find the alternative number to replace the question mark 16, 24, 48, 120, 360,…

Key pattern: each term is obtained by multiplying the previous term by successive values 3/2, 2, 5/2, 3, 7/2, ... (that is, by n/2 for n = 3,4,5,6,7,...).

• 16 × 3/2 = 24

• 24 × 2 = 48

• 48 × 5/2 = 120

• 120 × 3 = 360

• 360 × 7/2 = 1260

• Next multiplier: 8/2 = 4, so next term = 1260 × 4 = 5040

Answer: 5040