What is the next term that continues the pattern established in the following alphanumeric… — State PSC Exam

What is the next term that continues the pattern established in the following alphanumeric sequence?

Z2B, X6E, V12H, T20K, \dots

R30N

The sequence consists of three parallel sub-patterns: the first letters decrease by 2 positions (

Z \rightarrow X \rightarrow V \rightarrow T \rightarrow R

), the middle numbers increase by expanding even differences

+4, +6, +8, +10

(

2 \rightarrow 6 \rightarrow 12 \rightarrow 20 \rightarrow 30

), and the trailing letters increase by 3 positions (

B \rightarrow E \rightarrow H \rightarrow K \rightarrow N

). Combining these yields

R30N

Analyze the pattern of the first letter in each term

Z (26) -> X (24) -> V (22) -> T (20) -> R (18)

Each term's first letter shifts backward by 2 positions in alphabetical order.

Analyze the pattern of the middle number in each term

2, 6, 12, 20, 30

The difference between consecutive numbers increases by 2 each step (+4, +6, +8, +10).

Analyze the pattern of the last letter in each term

B (2) -> E (5) -> H (8) -> K (11) -> N (14)

Each term's last letter shifts forward by 3 positions in alphabetical order.

Combine the derived elements to form the next term

First letter: R, Middle number: 30, Last letter: N => R30N

Synthesizing all three independent rules yields the required term in the sequence.

Multi-pattern Alphanumeric Series

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