Let’s split the series into two alternating patterns:
Series:
7, 12, 16, 30, 34, 66, 70, ?
Observe alternating pairs
Odd positions:
7, 16, 34, 70
Even positions:
12, 30, 66, ?
Check pattern in odd terms
7 → 16 → 34 → 70
Differences:
+9, +18, +36 (doubling each time)
Check pattern in even terms
12 → 30 → 66 → ?
Differences:
+18, +36, +72 (doubling each time)
So next difference = 72
66 + 72 = 138
Final Answer: 138