Which of the following alphanumeric terms logically completes the given sequence? A2P, D9M… — State PSC Exam

Which of the following alphanumeric terms logically completes the given sequence?

A2P, D9M, I28J, P65G, \dots

Y126D

The correct term combines three distinct structural rules: the first letter follows perfect square positions (

1^2, 2^2, 3^2, 4^2, 5^2 \rightarrow Y

), the numerical value follows

n^3 + 1

(

5^3 + 1 = 126

), and the last letter decreases by 3 positions (

G - 3 = D

), giving

Y126D

Analyze the pattern of the first letter in each term

The alphabetical positions are

A=1

D=4

I=9

, and

P=16

. These numbers are perfect squares (

1^2, 2^2, 3^2, 4^2

). The 5th position is

5^2 = 25

, which corresponds to the letter

Y

Establishing the sequence rule for the first component.

Analyze the pattern of the middle number in each term

The numeric values are

2, 9, 28, 65

. Expressing them in terms of term position

n

1^3 + 1 = 2

2^3 + 1 = 9

3^3 + 1 = 28

4^3 + 1 = 65

. For

n=5

, the value is

5^3 + 1 = 125 + 1 = 126

Establishing the algebraic relation governing the middle numeric component.

Analyze the pattern of the third letter in each term

The alphabetical positions are

P=16

M=13

J=10

, and

G=7

. The pattern decreases by 3 each step (

-3

). The next position is

7 - 3 = 4

, which corresponds to the letter

D

Establishing the reverse linear shift rule for the third component.

Combine the three derived components

Combining the first letter (

Y

), middle number (

126

), and final letter (

D

) yields

Y126D

Constructing the final term of the series.

Multi-Pattern Alphanumeric Series

Estimated Time:2m 0s

Question