Number series – fill the missing term in the “×2 + 2” sequence: 2, 6, 14, 30, …, 126, ?

Introduction / Context:A classic construction is “multiply by 2 then add 2.” Apply it successively to recover the hidden term(s).

Observation / Approach:

• 2 → 6: 2*2 + 2
• 6 → 14: 6*2 + 2
• 14 → 30: 14*2 + 2
• 30 → 62: 30*2 + 2 (missing term)
• 62 → 126: 62*2 + 2

Step-by-Step Solution:Compute 30*2 + 2 = 62.

Verification / Alternative check:Continuing the same rule gives the subsequent value 126 exactly.

Why Other Options Are Wrong:63, 73, 95, 130 do not match the strict “×2 + 2” progression between 30 and 126.

Common Pitfalls:Switching to additive-only patterns; here multiplication precedes the constant addition.

Final Answer:62