Solving the Alphanumeric Series

The question asks to identify the missing term in the series: U9Y, R14V, O24S, L44P, ?, F164J. We need to find the pattern for the letters and numbers separately.

Pattern Analysis

Let's break down the series into its components:

1. First Letter Pattern

• The first letters are U, R, O, L, ?, F.
• Converting to alphabetical positions: 21, 18, 15, 12, ?, 6.
• Observe the difference between consecutive positions: $21 - 18 = 3$, $18 - 15 = 3$, $15 - 12 = 3$.
• The pattern is subtracting 3 from the position.
• Therefore, the missing letter's position is $12 - 3 = 9$.
• The 9th letter of the alphabet is I.

2. Number Pattern

• The numbers are 9, 14, 24, 44, ?, 164.
• Calculate the differences between consecutive numbers:
  • $14 - 9 = 5$
  • $24 - 14 = 10$
  • $44 - 24 = 20$
• The differences are 5, 10, 20. This sequence is doubling each time ($5 \times 2 = 10$, $10 \times 2 = 20$).
• The next difference should be $20 \times 2 = 40$.
• The missing number is $44 + 40 = 84$.
• Let's verify the next step: the difference after 40 should be $40 \times 2 = 80$. $84 + 80 = 164$, which matches the last number in the series.
• The missing number is 84.

3. Last Letter Pattern

• The last letters are Y, V, S, P, ?, J.
• Converting to alphabetical positions: 25, 22, 19, 16, ?, 10.
• Observe the difference between consecutive positions: $25 - 22 = 3$, $22 - 19 = 3$, $19 - 16 = 3$.
• The pattern is subtracting 3 from the position.
• Therefore, the missing letter's position is $16 - 3 = 13$.
• The 13th letter of the alphabet is M.

Conclusion

Combining the results from the three patterns:

• First Letter: I
• Number: 84
• Last Letter: M

The missing term is I84M.