SOLUTION: What is the next term in this sequence? 66 67 70 71 72 73 74 75 76 77

Question 1186884: What is the next term in this sequence?
66 67 70 71 72 73 74 75 76 77
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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This question is mathematically nonsensical.

Any number can be next term.

It is mathematically nonsensical BECAUSE there is NO logical connection between the given part and the question.

The given part is irrelevant to the question and the question is irrelevant to the given part.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The only way to get the right answer to any problem like this is to ask the person who created the problem what the right answer is.

That is not mathematics.

You can spend as much or as little time on any problem like this trying to find a logical rule or pattern that produces the given sequence of numbers -- but realize that any answer you come up with is only a guess.

So, while it is nonsense to expect the reader to answer the question correctly, a problem like this can provide some useful mental exercise.

Here is my GUESS: 100

rationale: the sequence is the increasing sequence of integers that can be written without using the digits 8 or 9.

Note that the equivalent of that is to say the next number is 100 because the sequence is consecutive integers in base 8.

I would say that, since that answer fits perfectly, there is a HIGH PROBABILITY that it is the expected answer.... But we can't know for sure

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