What is the next number? question

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The discussion revolves around the challenge of determining the next number in a given sequence: 10, 13.33, 20, 26.66, 40, 46.66, 60, 66.66, 80, 100. Participants explore various mathematical operations, such as multiplying by three, rounding off, dividing by ten, and subtracting one, to identify patterns. One contributor notes a realization of a prime number pattern after manipulating the sequence. Ultimately, the proposed next number in the sequence is 106.66. The conversation highlights the complexity and creativity involved in solving such numerical puzzles.
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"What is the next number?" question

I saw this question online but an answer wasn't provided. I've thought about it for a long time but I can't find an answer. Can anyone solve it?

What is the next number?
10, 13.33, 20, 26.66, 40, 46.66, 60, 66.66, 80, 100
 
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Multiply by 3, Round off, Divide by 10, Subtract 1... and look carefully.

OR pick absolutely number you like and it is easy to come up with a formula that will have the ones given in order followed by the number you picked.
 


Bill Simpson said:
Multiply by 3, Round off, Divide by 10, Subtract 1... and look carefully.

OR pick absolutely number you like and it is easy to come up with a formula that will have the ones given in order followed by the number you picked.

Wow, did you figure that out right now or have you seen it before?

I did the multiplying three thing myself, and I kind of found a pattern, but dividing by ten and subtracting one was genius.
 


I had never seen this before.

I stared at it for a couple of seconds, multiplied to get rid of the fractions, saw there was a trailing zero on every number, dropped those, stared at it for a couple of seconds and realized PRIMES!

But, as I said in my first reply, these "what is the next number" often aren't really "math."
 


So the next answer is 106.66?
 


QuantumJG said:
So the next answer is 106.66?

That's what I got.
 
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