Consider the following alphanumeric series: Z1A, X2C, V6E, T24G, R120I, \dots What is the … — State PSC Exam

Consider the following alphanumeric series:
$Z1A, X2C, V6E, T24G, R120I, \dots$

What is the next term in this series?

P720KAnswer
B
Q720K
C
P720J
D
P144K

Answer

The correct next term is P720K.

The term P720K correctly combines all three independent patterns: the first letter decreases by 2 positional steps in the alphabet (Z -> X -> V -> T -> R -> P), the central numerical term multiplies by increasing integers (

1 \times 2

2 \times 3

6 \times 4

24 \times 5

120 \times 6 = 720

), and the last letter increases by 2 positional steps (A -> C -> E -> G -> I -> K).

Step-by-Step Solution

Analyze the first letter sequence

Alphabetical positions:

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

. The pattern is a step shift of

-2

. The next letter position is

18 - 2 = 16

, which corresponds to

P

Determine the rule governing the initial letter of each term.

Analyze the middle numerical sequence

The sequence is

1, 2, 6, 24, 120

. The multipliers increase sequentially:

1 \times 2 = 2

2 \times 3 = 6

6 \times 4 = 24

24 \times 5 = 120

. The next multiplier is

6

, so

120 \times 6 = 720

Identify the multiplication progression for the numerical components.

Analyze the final letter sequence

Alphabetical positions:

A (1), C (3), E (5), G (7), I (9)

. The pattern is a step shift of

+2

. The next letter position is

9 + 2 = 11

, which corresponds to

K

Determine the rule governing the trailing letter of each term.

Combine the components

Combining the first letter (

P

), middle number (

720

), and last letter (

K

) yields

P720K

Assemble the complete final term of the series.

Key Concept

Multi-component alphanumeric series pattern recognition combining arithmetic step shifts and factorial multiplication.

Estimated Time:1m 0s

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