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Solution

✅ Correct Option: 3

Breaking down each term in the series into three components:

45G54: First number = 45, Letter = G, Last number = 54

47J57: First number = 47, Letter = J, Last number = 57

50N61: First number = 50, Letter = N, Last number = 61

54S66: First number = 54, Letter = S, Last number = 66


Analyzing the first numbers: 45, 47, 50, 54, ?

Differences between consecutive terms:

47−45=247 - 45 = 2

50−47=350 - 47 = 3

54−50=454 - 50 = 4

The differences form the sequence 2, 3, 4, so the next difference is 5.

Next first number: 54+5=5954 + 5 = 59


Analyzing the letters: G, J, N, S, ?

Finding their positions in the alphabet:

G = 7th letter

J = 10th letter

N = 14th letter

S = 19th letter

Differences between positions:

10−7=310 - 7 = 3

14−10=414 - 10 = 4

19−14=519 - 14 = 5

The differences form the sequence 3, 4, 5, so the next difference is 6.

Next position: 19+6=2519 + 6 = 25

The 25th letter is Y.


Analyzing the last numbers: 54, 57, 61, 66, ?

Differences between consecutive terms:

57−54=357 - 54 = 3

61−57=461 - 57 = 4

66−61=566 - 61 = 5

The differences form the sequence 3, 4, 5, so the next difference is 6.

Next last number: 66+6=7266 + 6 = 72


The next term in the series is 59Y72.

Therefore, the answer is Option 3: 59Y72.

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