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

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N2676S

N2676T

N2676N

N2670T

answer is A.

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Detailed Solution

We will observe the pattern of this series.
first term of this series is starting with an alphabet
And, then alphabets are going in a decreasing order and there is a difference of 2 between each alphabet:
Z−2=X−2=V−2=T−2=R−2=P−2=N
Hence first letter of the next term will be N …(i)
The series is consisting of the numbers making a series of:
1,2,6,21,88,445,?
we can write this series as:
1,(1×1+1),(2×2+2),(6×3+3),(21×4+4),(88×5+5),?1,(1×1+1),(2×2+2),(6×3+3),(21×4+4),(88×5+5)
the next term will be: 445×6+6=2670+6=2676
Therefore, the next term will contain the number 2676 …(ii)
each term of this series is ending with an alphabet.
Alphabets are going in an ascending order and there is an addition of 3 to each preceding alphabet:
A+3=D+3=G+3=J+3=M+3=P+3=S
Hence, we can say that the required next term will end with the letter S ..(iii)
Hence, from (i),(ii) & (iii)
Our required next term of the series is
N2676S

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