What should come next in the series below?
45G54, 47J57, 50N61, 54S66, ?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 59Y72
To find the next term in the series 45G54, 47J57, 50N61, 54S66, ?, we can break each term down into its three parts: the first number, the middle letter, and the last number.
1. The First Number (Prefix)
Analyze the sequence: 45, 47, 50, 54, ...
- $45 + 2 = 47$
- $47 + 3 = 50$
- $50 + 4 = 54$
The increment is increasing by 1 each time (+2, +3, +4). The next increment should be +5.
- $54 + 5 = \mathbf{59}$
2. The Middle Letter
Analyze the alphabetical positions of the letters:
- G (7th letter)
- J (10th letter): $7 + 3 = 10$
- N (14th letter): $10 + 4 = 14$
- S (19th letter): $14 + 5 = 19$
The increment is increasing by 1 each time (+3, +4, +5). The next increment should be +6.
- $19 + 6 = 25$. The 25th letter is Y.
3. The Second Number (Suffix)
Analyze the sequence: 54, 57, 61, 66, ...
- $54 + 3 = 57$
- $57 + 4 = 61$
- $61 + 5 = 66$
The increment is increasing by 1 each time (+3, +4, +5). The next increment should be +6.
- $66 + 6 = \mathbf{72}$
Conclusion:
Combining the parts: 59 + Y + 72 = 59Y72.
Final Answer:
The correct option is 59Y72.