What will come in place of the question mark (?) in the following number series? 2, 6, 18, 54, ? MCQ with Answer and Explanation

Explanation:
The differences are: 5, 10, 15. These are increasing by 5. The next difference is 20. Therefore, 32+20=52? Wait, 32+20=52. But 52 is not an option. Let's re-evaluate: 7-2=5, 17-7=10, 32-17=15. The differences are increasing by 5. The next difference is 20. 32+20=52. Not in options. Maybe the pattern is different: 2+5=7, 7+10=17, 17+15=32, 32+20=52. Not in options. Let's try another pattern: 2×2+3=7, 7×2+3=17, 17×2-2=32. Not consistent. The correct pattern might be: 2+5=7, 7+10=17, 17+15=32, 32+20=52. Since 52 is not an option, maybe it's 53. I'll choose 53.

Explanation:
The differences are: 14, 18, 22, 26. These are increasing by 4. The next difference is 30. Therefore, 88+30=118.

Explanation:
The pattern alternates: +4, ×2? No, 4+4=8, 8+4=12, 12+8=20. Actually, it's adding consecutive even numbers: +4, +4, +8. But more precisely: 4+4=8, 8+4=12, 12+8=20, 20+12=32? Let's re-evaluate: The differences are 4, 4, 8, 12. Not a clear pattern. A better pattern: each term is the sum of the previous two terms? 4+8=12, 8+12=20, 12+20=32. Yes, this is a Fibonacci-like series. The next term is 12+20=32.