Question:hard

Find the next term in the alpha-numeric series-
Z1A, X2D, V6G, T21J, R88M, P445P, ?

Show Hint

To save time, look at the options first. Since the first letter is N in both options A and B, you only need to determine whether the last letter is S or T, which is much faster than computing the entire middle number.
Updated On: Jun 11, 2026
  • N2676S
  • N2676T
  • T2670N
  • T2676N
Show Solution

The Correct Option is A

Solution and Explanation

Step 1: Break each term into three parts.
Every term has a leading letter, a middle number, and a trailing letter; handle them separately.
Step 2: Track the first letters.
$Z,X,V,T,R,P$ drop by $2$ each time, so after $P(16)$ comes $N(14)$.
Step 3: Find the number rule.
The numbers $1,2,6,21,88,445$ follow $\text{next}=\text{prev}\times k + k$ with $k=1,2,3,\dots$ For example $88\times5+5=445$.
Step 4: Extend the number.
Using $k=6$: $445\times6+6=2670+6=2676$.
Step 5: Track the last letters.
$A,D,G,J,M,P$ rise by $3$ each time, so after $P(16)$ comes $S(19)$.
Step 6: Assemble the next term.
Combine $N$, $2676$, $S$.
\[ \boxed{\text{N2676S}} \]
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