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this is actually the number sequence

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

The sequence given above is

AAA BBB FFF OOO

111 222 666 151515

the difference between the two numbers is the squares

1 1+12 2+22 6+32 15+42 31+52 6+72 and so on

so it will be 1 2 6 15 31 56 Here 31 means no 31 alphabets so 31 - 26 which is 5 that maps to E 56 is 56 - 26 - 26 which is 4 maps to D

The alphabet sequence will be A B F O E D and so on

Hope this helps

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Q: Which letter best completes the sequence AAA bbb fff ooo eee?
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