A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. AR54, UL109, OF219, IZ439, ?
CT879
Here too each term is two letters plus a number, so we decode the first letters, the second letters and the numbers as three separate patterns.
First letters: A, U, O, I. Moving from A to U to O to I, each letter shifts back by 6 places (counting cyclically through the alphabet), so I shifts back 6 to give C.
Second letters: R, L, F, Z. Each shifts back by 6 places as well (Z going back 6 lands on T), so the next second letter is T.
Now the numbers: 54, 109, 219, 439. The relation is next = previous \(\times 2 + 1\).
Check it: \(54 \times 2 + 1 = 109\), \(109 \times 2 + 1 = 219\), \(219 \times 2 + 1 = 439\).
So the next number is \(439 \times 2 + 1 = 879\), and combining with the letters gives CT879.
Hence the missing term is CT879.
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