The Mysterious Sequence: 1,2,4,8,16,23,28

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In summary, the mysterious sequence 1,2,4,8,16,23,28 follows a pattern of each number being twice the previous number, except for the last two numbers which have a difference of 5. There is a mathematical formula for this sequence, but the significance of the number 23 is unknown and the sequence cannot be extended indefinitely. The purpose of the sequence is also unknown, but it could be a mathematical puzzle or a code with special significance in a specific field.
  • #1
mabs239
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1
1, 2, 4, 8, 16, 23, 28, ?
 
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  • #2
OK. Here are some more terms :
1, 2, 4, 8, 16, 23, 28, 38, 49, 62, ?, ?...
 
  • #3
70,77,...
 
  • #4
Well done, Rogerio!
 
  • #5
,91,101,..
 

1. What is the pattern of the mysterious sequence 1,2,4,8,16,23,28?

The pattern of the mysterious sequence is that each number is twice the previous number, except for the last two numbers which have a difference of 5.

2. Is there a mathematical formula for the mysterious sequence 1,2,4,8,16,23,28?

Yes, the formula for the mysterious sequence is 2n-1 + 2n-2 + 2n-3 + 2n-4 + 2n-5 + 2n-6 + 2n-7, where n is the position of the number in the sequence.

3. What is the significance of the number 23 in the mysterious sequence 1,2,4,8,16,23,28?

The number 23 is the only odd number in the sequence and it breaks the pattern of doubling the previous number. It is believed to be a mystery or a mistake in the sequence created by a human.

4. Can the mysterious sequence 1,2,4,8,16,23,28 be extended indefinitely?

No, the mysterious sequence cannot be extended indefinitely as there is no definite pattern or rule for the last two numbers (23, 28). It is also believed that the sequence was intentionally designed to be finite.

5. What is the purpose of the mysterious sequence 1,2,4,8,16,23,28?

The purpose of the mysterious sequence is unknown. It could be a mathematical puzzle or a code created by someone. Some also believe that it could be a sequence of numbers with a special significance in a specific field of science or technology.

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