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Select the term that will come next in the following series.A4C, D9G, I16M, P25U, ?
Question

Select the term that will come next in the following series.
A4C, D9G, I16M, P25U, ?

A.

Y36Z

B.

X36D

C.

Y36E

D.

W36Z

Correct option is C

Given: A4C, D9G, I16M, P25U, ?
Logic: The first letter follows A → D → I → P → Y by adding odd numbers ( 3, 5, 7, 9..) the number follows 2², 3², 4², 5², 6² = 36, and the last letter follows C → G → M → U → Z by adding even numbers (+4, +6, +8, +10.)
First letter pattern:
A → D → I → P → ?
A + 3 = D
D + 5 = I
I + 7 = P
P + 9 = Y
Number pattern: 4, 9, 16, 25, ?
4, 9, 16, 25, ?
2², 3², 4², 5² → 6² = 36
Last letter pattern: C → G → M → U → ?
C + 4 = G
G + 6 = M
M + 8 = U
U + 10 = E
Thus, the missing term is Y36E.
Thus, the correct option is (c) Y36E.

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