Question

Find the next number letter of the sequence given below:
$32\text{A}$, $16\text{B}$, $8\text{D}$, $4\text{H}$,

• A. $2\text{Q}$
• B. $3\text{P}$
• C. $3\text{Q}$
• D. $2\text{P}$

Answer 1

The correct option is D $2\text{P}$

Given sequence: $32\text{A}$, $16\text{B}$, $8\text{D}$, $4\text{H}$, _______

$\bullet$ Let's solve the numeric sequence first:
$32$, $16$, $8$, $4$, _____

By observing the pattern in the above numeric sequence, we find
$32÷2=16$,
$16÷2=8$,
$8÷2=4$,
$4÷2=\underset{–}{2}$

$\therefore \text{Next numeric term}=\text{Previous numeric term}÷2$

Therefore, the next numeric term $=4÷2=\underset{–}{2}$.

$\bullet$ Next, we find the numeric sequence corresponding to alphabet sequence $\text{A}$, $\text{B}$, $\text{D}$, $\text{H}$, _______ by associating it with their place values as shown below.


So, the numeric sequence for $\text{A}$, $\text{B}$, $\text{D}$, $\text{H}$, _______ is $1$, $2$, $4$, $8$, _____, which gives the pattern as

$1\times 2=2$,
$2\times 2=4$,
$4\times 2=8$,
$8\times 2=\underset{–}{16}$

And, $16$ corresponds to $\underset{–}{\text{P}}$.

$\therefore$ The next number letter in the given alphanumeric sequence
$32\text{A}$, $16\text{B}$, $8\text{D}$, $4\text{H}$, _____ is $\underset{–}{2\text{P}}$.