Consider the following alphanumeric series: A2, D6, G12, J20, \dots Which term logically c… — State PSC Exam

Consider the following alphanumeric series:

A2, D6, G12, J20, \dots

Which term logically completes the series?

M30

The series consists of two independent rules: the alphabetical components advance by

+3

positions (

A \rightarrow D \rightarrow G \rightarrow J \rightarrow M

), and the numerical components follow a pattern of adding successive even numbers (

+4, +6, +8, +10

), leading to

20 + 10 = 30

. Combining these yields the term

M30

Analyze the pattern in the letter sequence.

A (1) + 3 = D (4)

D (4) + 3 = G (7)

G (7) + 3 = J (10)

J (10) + 3 = M (13)

The letters progress forward by 3 positions in the standard alphabetical order.

Analyze the pattern in the numeric sequence.

2 + 4 = 6

6 + 6 = 12

12 + 8 = 20

20 + 10 = 30

The difference between consecutive numbers increases by

2

at each step (

+4, +6, +8, +10

Combine the next letter and number.

The next term is

M30

Combining the 13th letter

M

with the calculated number

30

completes the sequence.

Dual-pattern alphanumeric series progression involving constant letter shifts and increasing even number differences.

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