Choose the missing term in the following alphanumeric series from the given alternatives:
2A11, 4D13, 12G17, ______, 240M31
Choose the missing term in the following alphanumeric series from the given alternatives:
2A11, 4D13, 12G17, ______, 240M31
Solution
Looking at the series: 2A11, 4D13, 12G17, ______, 240M31
The pattern has three components: number-letter-number
Analyzing the first numbers: 2, 4, 12, ?, 240
Each term is multiplied by consecutive integers (2, 3, 4, 5).
The missing first number is .
Analyzing the letters: A, D, G, ?, M
Letter positions in the alphabet:
A = 1st position
D = 4th position
G = 7th position
M = 13th position
The differences are: , ,
Following the pattern where differences increase: 3, 3, 3, 6
The 10th letter is J.
The missing letter is .
Analyzing the last numbers: 11, 13, 17, ?, 31
These are all prime numbers.
Checking their positions in the prime sequence:
11 is the 5th prime
13 is the 6th prime
17 is the 7th prime
31 is the 11th prime
The prime positions are: 5, 6, 7, ?, 11
Following the pattern with differences: +1, +1, +2, +2
The 9th prime number is 23.
The missing last number is .
The missing term is .
Therefore, the answer is Option 4: 48J23.
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