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Choose the missing term out of the given alternatives:

C02T, D05S, F10Q, I17N, ?, R37E

Solution

✅ Correct Option: 4

Looking at the sequence: C02T, D05S, F10Q, I17N, ?, R37E

Each term has three components: First letter, Number, Last letter


Analyzing the first letters: C, D, F, I, ?, R

Position differences:

  • C to D: +1 position
  • D to F: +2 positions
  • F to I: +3 positions
  • I to ?: +4 positions
  • ? to R: +5 positions

C (3) → D (4) → F (6) → I (9) → M (13) → R (18)

The missing first letter is M.


Analyzing the numbers: 02, 05, 10, 17, ?, 37

Differences between consecutive numbers:

  • 05 - 02 = 3
  • 10 - 05 = 5
  • 17 - 10 = 7
  • ? - 17 = 9
  • 37 - ? = 11

The differences form an arithmetic sequence of odd numbers: 3, 5, 7, 9, 11

17+9=2617 + 9 = 26

The missing number is 26.


Analyzing the last letters: T, S, Q, N, ?, E

Position differences:

  • T to S: -1 position
  • S to Q: -2 positions
  • Q to N: -3 positions
  • N to ?: -4 positions
  • ? to E: -5 positions

T (20) → S (19) → Q (17) → N (14) → J (10) → E (5)

The missing last letter is J.


The missing term is M26J.

Therefore, the answer is Option 4: M26J.

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