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Find the missing term in the series: C, D, F, I, M, ?
R
Q
S
P
R
Convert letters to their numerical positions in the English alphabet and observe the increasing gap between consecutive terms.
Convert letters to their numerical positions in the English alphabet and observe the increasing gap between consecutive terms.
Numerical Mapping
Convert each letter to its position: C=3, D=4, F=6, I=9, M=13.
Analyze Differences
Calculate the difference between consecutive terms: D-C = 4-3 = +1; F-D = 6-4 = +2; I-F = 9-6 = +3; M-I = 13-9 = +4. The pattern is +1, +2, +3, +4.
Calculate Missing Term
Following the pattern, the next increment must be +5. Therefore, 13 + 5 = 18. The 18th letter of the alphabet is R.
B: Q is 17th letter, which corresponds to an increment of +4 from M, ignoring the pattern sequence. C: S is 19th letter, resulting from an incorrect increment of +6. D: P is 16th letter, resulting from an incorrect increment of +3.
A is correct because the series follows a pattern of increasing gaps (+1, +2, +3, +4) leading to a final increment of +5 from M(13) to reach R(18).
When encountering letter series, always write the numerical rank above the letters immediately to reveal hidden mathematical operations.
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