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Find the missing letter in the series: A, C, F, J, O,?
S
T
U
V
U
Identify the numerical position of each letter in the alphabet (A=1, B=2...) and look for an increasing arithmetic progression of the difference between consecutive terms (the 'gap' series).
Identify the numerical position of each letter in the alphabet (A=1, B=2...) and look for an increasing arithmetic progression of the difference between consecutive terms (the 'gap' series).
Convert letters to numerical positions
A=1, C=3, F=6, J=10, O=15. The series is 1, 3, 6, 10, 15.
Analyze the difference between terms
The differences are: 3-1=+2, 6-3=+3, 10тИТ6=+4, 15-10=+5. The gap follows an increasing pattern of +2, +3, +4, +5.
Determine the next term
Following the pattern, the next gap must be +6. Therefore, 15 + 6 = 21. The 21st letter of the English alphabet is U.
A: S is 19th letter, incorrect gap. B: T is 20th letter, incorrect gap. D: V is 22nd letter, incorrect gap.
C is correct because the series follows a pattern of increasing additions (+2, +3, +4, +5, +6), and 15 + 6 equals 21, which corresponds to the letter U.
For any alphabet series, always write the positional numbers above the letters immediately to reveal the mathematical pattern hidden underneath the characters.