Which of the following terms logically completes the given alphanumeric series? A1, C4, E9… — State PSC Exam

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

A1, C4, E9, G16, \dots

$I25$ Answer
B
$R25$
C
$H25$
D
$I20$

Answer

The term that logically completes the series is

I25

The correct term is formed by combining the two independent rules governing the series: the letter advances by 2 steps in standard forward alphabetical order (

A \to C \to E \to G \to I

), and the number sequence follows consecutive perfect squares (

1^2=1, 2^2=4, 3^2=9, 4^2=16, 5^2=25

). Thus, the missing term is

I25

Step-by-Step Solution

Analyze the letter pattern

A \xrightarrow{+2} C \xrightarrow{+2} E \xrightarrow{+2} G \xrightarrow{+2} I

Each letter moves forward by 2 positions in standard alphabetical order.

Analyze the number pattern

1^2 = 1, \quad 2^2 = 4, \quad 3^2 = 9, \quad 4^2 = 16, \quad 5^2 = 25

The numbers represent squares of consecutive positive integers starting from 1.

Combine the letter and number terms

Fifth term =

I25

Combining the 5th letter (I) and the 5th square (25) completes the sequence.

Key Concept

Alphanumeric Series Completion

Question

Answer

Step-by-Step Solution

Key Concept

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