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What number comes next in this sequence? There are two possible answers, can you find them both?
1 · 23 · 124 · 1251 · 26127 · 128129 · ?
Puzzle Copyright © Kevin Stone
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Answer
1301311 or 1210121.
Reasoning
Removing spaces from the original sequence gives:
123124125126127128129
Now adding spaces back in:
123 124 125 126 127 128 129
Answer #1
The next few terms could be the next 3 numbers:
123 124 125 126 127 128 129 + 130 131 132
Remove the spaces:
123124125126127128129130131132
Now break the sequence into chunks of increasing size:
1 23 124 1251 26127 128129 1301311
One possible answer is 1301311.
Answer #2
The next few terms could be 12 + 10, 12 + 11, 12 + 12:
123 124 125 126 127 128 129 + 1210 1211 1212
Remove the spaces:
123124125126127128129121012111212
Now break the sequence into chunks of increasing size:
1 23 124 1251 26127 128129 1210121
Another possible answer is 1210121.