complete the following sequence
1,11,21,1211,111221,?
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Answer:
hear ' s the complete sequence
1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211 and more
Step-by-step explanation:
To generate a member of the sequence from the previous member, read the digits of the previous member, counting the number of digits in groups of the same digit. Eg:
- 1 is read as "one 1" or 11.
- 11 is read as "two 1s" or 21.
- 21 is read as "one 2, then one 1" or 1211.
- 1211 is read as "one 1, one 2, then two 1s" or 111221.
- 111221 is read as "three 1s, two 2s, then one 1" or 312211.
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