Find the missing term in the series given below.VG, AB, KR, ?, TI
Question
Find the missing term in the series given below.VG, AB, KR, ?, TI
Solution
The missing term in the series is "PX".
Here's how you can find it:
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Look at the first letters of each term in the series: V, A, K, ?, T. If you convert these letters to their corresponding positions in the alphabet (A=1, B=2, ..., Z=26), you get 22, 1, 11, ?, 20. The difference between consecutive terms is -21, +10, ?, -10. So, the missing difference must be +21 to continue the pattern. Adding 21 to 11 gives you 32. Since the alphabet only has 26 letters, subtract 26 from 32 to get 6. The 6th letter of the alphabet is "F".
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Now look at the second letters of each term in the series: G, B, R, ?, I. Again, convert these letters to their corresponding positions in the alphabet to get 7, 2, 18, ?, 9. The difference between consecutive terms is -5, +16, ?, -9. So, the missing difference must be +25 to continue the pattern. Adding 25 to 18 gives you 43. Subtract multiples of 26 from 43 until you get a number less than or equal to 26. The result is 17. The 17th letter of the alphabet is "Q".
So, the missing term in the series is "FQ".
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