Explanation:

Alright, let’s break this sequence down:

- The given series is: 14, 14, 12, 36, 32, 160, ?

- Let’s look for a pattern. It seems to alternate:

- 14 ? 12 (subtract 2)

- 14 ? 36 (multiply by 2.57?) – not clean.

- 12 ? 32 (add 20), 36 ? 160 (multiply by a bit over 4)

- Another way: Odd and even positioned terms might each have their own patterns.

- Odd positions: 14, 12, 32, ?

- 14 ? 12 (–2), 12 ? 32 (+20), so next one: 32 + 20 = 52

- Even positions: 14, 36, 160

- 14 ? 36 (x2.57), 36 ? 160 (x4.44), not a clear multiplier.

- But watch this:

- 14, 14 (no change)

- 14 × 1 = 14

- 14 – 2 = 12

- 12 × 3 = 36

- 36 – 4 = 32

- 32 × 5 = 160

- 160 – 6 = 154

- So the rule is: alternate "multiply by an odd number" and "subtract the next even number."

- 14 (start)

- 14 × 1 = 14

- 14 – 2 = 12

- 12 × 3 = 36

- 36 – 4 = 32

- 32 × 5 = 160

- 160 – 6 = 154

- Option 3: 154

- This fits perfectly.

- Other options don’t fit this rule.