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Find the next term in the given series.D3Y104, G9U91, J27Q78, M81M65, ______P243I39Q243I52P243I52Q162J39

Question

Find the next term in the given series.D3Y104, G9U91, J27Q78, M81M65, ______P243I39Q243I52P243I52Q162J39

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Solution

The pattern in the series seems to be a combination of alphabets and numbers. Let's break it down:

  1. The first letter in each term is increasing by 4: D (4th letter) -> G (7th letter) -> J (10th letter) -> M (13th letter). So, the next term should start with P (16th letter).

  2. The first number in each term is a cube: 3^1, 3^2, 3^3, 3^4. So, the next number should be 3^5 = 243.

  3. The second letter in each term is decreasing by 4: Y (25th letter) -> U (21st letter) -> Q (17th letter) -> M (13th letter). So, the next letter should be I (9th letter).

  4. The second number in each term is decreasing by 13: 104 -> 91 -> 78 -> 65. So, the next number should be 65 - 13 = 52.

So, the next term in the series should be P243I52.

This problem has been solved

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