Find the missing number for below given series following the same logic :
16, 48, (?), 72, 36, 108, 54, 162, 81

Correct option is D

Given series:

16, 48, (?), 72, 36, 108, 54, 162, 81

Step 1: Analyze the alternating positions

The series alternates between two groups of operations, so let’s break it down:

• Group 1 (Odd positions): 16, (?), 36, 54, 81
• Group 2 (Even positions): 48, 72, 108, 162

Step 2: Focus on the pattern in odd positions

Odd positions:
16 → (?) → 36 → 54 → 81

Here, we notice that the odd terms follow a pattern involving division by 2, multiplication by 3:

• $16\times 3=48$
• $48÷2=24$

Thus, the missing term in odd positions is 24.