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If A=1, B=3, C=5, what is D?
7
8
9
10
7
Apply the arithmetic sequence formula 2n - 1 where n is the alphabetical position of the letter.
Apply the arithmetic sequence formula 2n - 1 where n is the alphabetical position of the letter.
Analyze the alphabetical positions
Identify the positional value (n) for each letter: A=1, B=2, C=3, D=4.
Derive the mathematical relationship
Observe the pattern: (2 * position) - 1. For A: (21)-1 = 1; For B: (22)-1 = 3; For C: (2*3)-1 = 5.
Apply logic to the target letter D
Substitute n=4 for letter D into the formula: (2 * 4) - 1 = 8 - 1 = 7.
B: 8 is incorrect as it follows the wrong formula (2n). C: 9 is incorrect as it is an arbitrary odd number not following the positional sequence. D: 10 is incorrect as it represents the sum of previous values instead of the sequential progression.
A is correct because the pattern 2n-1 applied to the 4th letter D (n=4) results in 7.
When coding letters to numbers, always test the standard position (A=1, B=2...) first. If it does not work, check for (2n-1) or (2n) patterns immediately.