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Riddle -- What comes next?
What comes next in this sequence?
1
11
21
1211
111221
312211
Find the next number in the sequence and explain the logic behind it.
7 Answers
- Anonymous2 decades agoFavorite Answer
13112221. After the first line, the digits come in pairs, describing the previous lines digits, read left to right; e.g. 312211 {or 31 22 11} says: three ones, two twos, one one.
- Anonymous2 decades ago
Start from the bottom... The first line tells that the next line above has three 1s(31), two 2s(22), and one 1(11) - 111221. The line with "111221" tells that the next line above has one 1(11), one 2(12), and two 1(21) - 1211. The line with "1121" tells that the next line above has one 2(12) and one 1(11) - 21. The line with "21" tells that the next line above has two 1s (21) - 11. Finally, the line with "11" tells that the last line has one 1(11) - 1... Is it right?
- ArbitrageLv 72 decades ago
13112221
1 is "one 1" to get the next number...
11 is "two 1's"
21 is "one 2, one 1"
1211 is "one 1, one 2, two 1's"
and so on.
- 2 decades ago
1
11
21
1211
111221
312211
1111212211
I don't know...
Are you trying to get us practice the 10-Key?
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- 2 decades ago
7457359738028606804276074360973457689526918593755206572356178567365782156782136513785617835685137518358951.