Solution

Series: 2, 7, 27, 107, 427, ?

Step 1: Look at the pattern.
Each term seems to follow: $$a_{n+1} = 4 \times a_n - 1$$

Step 2: Verify the rule.
• 2 → 4×2 - 1 = 7 ✅
• 7 → 4×7 - 1 = 27 ✅
• 27 → 4×27 - 1 = 107 ✅
• 107 → 4×107 - 1 = 427 ✅

Step 3: Find the next term.
• 427 → 4×427 - 1 = 1707 ✅

Missing Term: 1707

Answer: Option 2