What are the next two numbersin the following sequence ?
1, 11, 31, 4113, 612314, ? , ?
(Explain how you arrived at your result).
(In reply to
Puzzle Answer by K Sengupta)
The first term of the sequence is 1, so that the # ones in it is 1.
Spelling this out, we obtain one 1, which can be written as 11, corresponding to the second term of the sequence.
After obviating the the comma,we get the first and second term together as 111, which is spelled out as three 1 written as 31 which corresponds to the 3rd term of the sequence.
The first three terms of the sequence is 11131, which is spelled out as four 1 three 1, written as 4131, which corresponds to the fourth term of the sequence.
The first four terms of the sequence is 111314113, which can be spelled out as six 1, two 3, and one 4 which is written as 612314, which corresponds to the fifth term of the sequence.
The first five terms of the sequence is 111314113612314, which is spelled out as eight 1, one 2, three 3, two 4 and one 6, which is written as 8112332416, becoming the sixth term of the sequence.
The first six terms of the sequence is written as 1113141136123148112332416, which is spelled out as eleven 1, three 2, five 3, three 4, two 6, and one 8, which can be written as: 1113253342618, thus becoming the seventh term of the sequence.
Consequently, the required next two terms in the sequence is 8112332416 and 1113253342618.
Edited on July 16, 2022, 12:36 am
Explanation to Puzzle Answer
