First, assign numerical values to each letter based on its position in the alphabet (A=1, B=2, C=3, ..., Z=26). The given series B, E, J, Q corresponds to the numerical sequence: 2, 5, 10, 17. Next, find the difference between consecutive numbers in this sequence: 5 - 2 = 3 10 - 5 = 5 17 - 10 = 7 The differences form an increasing sequence of odd numbers: 3, 5, 7. Following this pattern, the next difference should be the next odd number, which is 9. Add this difference to the last number in the sequence (17 + 9). 17 + 9 = 26. The letter corresponding to the numerical value 26 is Z. Why others are wrong:A — W (23) would imply a difference of 6 from Q (17), which breaks the increasing odd number pattern. B — X (24) would imply a difference of 7 from Q (17), which is the current difference, not the next in the pattern. C — Y (25) would imply a difference of 8 from Q (17), which breaks the odd number pattern of differences.

Analyze the difference in position between consecutive letters in the series. From A to C, there is a jump of +2 letters (skipping B). From C to F, there is a jump of +3 letters (skipping D, E). From F to J, there is a jump of +4 letters (skipping G, H, I). From J to O, there is a jump of +5 letters (skipping K, L, M, N). The pattern of jumps is increasing by one each time: +2, +3, +4, +5. Therefore, the next jump should be +6 letters. Starting from O, jumping +6 letters means skipping P, Q, R, S, T. The letter immediately after T is U. Why others are wrong:A — T would result from a jump of +5 from O, repeating the previous jump instead of increasing. C — V would result from a jump of +7 from O, skipping too many letters based on the established pattern. D — W would result from a jump of +8 from O, skipping even more letters than the pattern suggests.

First, assign numerical positions to each letter in the alphabet (A=1, B=2, ..., Z=26). The given series converts to numerical positions as follows: B=2, E=5, I=9, N=14, T=20. Next, calculate the difference between consecutive terms in the series: E - B = 5 - 2 = +3 I - E = 9 - 5 = +4 N - I = 14 - 9 = +5 T - N = 20 - 14 = +6 The pattern of differences is an increasing sequence: +3, +4, +5, +6. Therefore, the next difference in the series should be +7. Add 7 to the numerical position of T: 20 + 7 = 27. Since the alphabet has 26 letters, position 27 cycles back to the beginning. 27 - 26 = 1. The letter corresponding to position 1 is A. Why others are wrong:A — Y would result from T + 5 (20+5=25), which breaks the increasing difference pattern. B — Z would result from T + 6 (20+6=26), which is the previous step's difference, not the next. D — X would result from T + 4 (20+4=24), which also breaks the increasing difference pattern.

Step 1: Analyze the numerical position of each letter in the alphabet (A=1, B=2, etc.). Step 2: A is the 1st letter. Step 3: C is the 3rd letter, which is 1 + 2. Step 4: F is the 6th letter, which is 3 + 3. Step 5: J is the 10th letter, which is 6 + 4. Step 6: O is the 15th letter, which is 10 + 5. Step 7: The pattern of the added numbers is an increasing sequence: +2, +3, +4, +5. Step 8: Following this pattern, the next number to add should be +6. Step 9: Adding 6 to the position of O (15), we get 15 + 6 = 21. Step 10: The 21st letter of the alphabet is U. Why others are wrong:A — T is the 20th letter, which would imply a jump of +5 from O, breaking the increasing jump pattern. C — V is the 22nd letter, which would imply a jump of +7 from O, deviating from the established pattern. D — W is the 23rd letter, which would imply a jump of +8 from O, which is incorrect according to the pattern.

First, assign the numerical position of each letter in the alphabet (A=1, B=2, ... Z=26). C corresponds to 3. F corresponds to 6. J corresponds to 10. O corresponds to 15. U corresponds to 21. Next, find the difference between consecutive letters' positions. From C (3) to F (6), the difference is +3 (6 - 3 = 3). From F (6) to J (10), the difference is +4 (10 - 6 = 4). From J (10) to O (15), the difference is +5 (15 - 10 = 5). From O (15) to U (21), the difference is +6 (21 - 15 = 6). The pattern for the increments is an increasing sequence: +3, +4, +5, +6. Following this established pattern, the next increment should be +7. Add +7 to the position of U (21): 21 + 7 = 28. Since there are 26 letters in the alphabet, we wrap around for values greater than 26. 28 - 26 = 2. The 2nd letter in the alphabet is B. Why others are wrong:A — Y is the 25th letter; this would imply an increment of +4 from U, which breaks the established pattern of increasing increments (+3, +4, +5, +6, ...). B — Z is the 26th letter; this would imply an increment of +5 from U, which breaks the established pattern. C — A is the 1st letter (or 27th position when wrapping); this would imply an increment of +6 from U, which breaks the established pattern as the next jump should be +7.