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What comes next in the series: AB2, CD5, EF8, GH11,?
IJ13
IJ14
HI14
IJ15
IJ14
Observe the first two letters as consecutive pairs (AB, CD, EF, GH) and the number as an arithmetic progression with a common difference of 3.
Observe the first two letters as consecutive pairs (AB, CD, EF, GH) and the number as an arithmetic progression with a common difference of 3.
Analyze the alphabetical pattern
The series follows consecutive pairs of letters: AB, CD, EF, GH. The next pair in this alphabetical sequence must be IJ.
Analyze the numerical pattern
The numbers follow an arithmetic progression: 2, 5, 8, 11. Each term increases by 3 (2+3=5, 5+3=8, 8+3=11). Therefore, the next number is 11 + 3 = 14.
Combine and identify
Combining the next alphabetical pair (IJ) with the next number (14) results in the cluster IJ14.
A: The number 13 is incorrect as the common difference is 3; C: The alphabetical order HI is incorrect; D: The number 15 is incorrect as 11+3 equals 14, not 15.
B is correct because the alphabetical sequence increments by consecutive pairs starting from A and the numerical sequence follows a +3 arithmetic progression, resulting in IJ14.
In alphanumeric series, always solve the letter pattern and the number pattern separately; check for prime numbers, squares, or simple arithmetic gaps in the numbers.