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Incubator Q&A

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Comments on What’s next? 0, 4, 8, 21, 52, 65, 96, ?

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What’s next? 0, 4, 8, 21, 52, 65, 96, ? Question

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What’s the next number in the following sequence:

0, 4, 8, 21, 52, 65, 96, ?

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Ok, I'm willing to embarrass myself with a probably-wrong answer, because I'm enjoying trying to figure it out. I see a pattern, but I can't explain the entire sequence using it, so I'm clearly missing something.

spoiler The next number in the sequence is 109, and the one after that is 140.

Starting with 21, the values alternate between +31 and +13. But I don't know what to do with 0, 4, 8.

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Nice try Monica but your answer is not correct. The interesting thing about this puzzle is that the ... (10 comments)
Nice try Monica but your answer is not correct. The interesting thing about this puzzle is that the ...

Nice try Monica but your answer is not correct. The interesting thing about this puzzle is that the given numbers are increasing and it seems reasonable to assume that the next number would be bigger than the last given number 96. BUT remarkably the next number is actually significantly less than 96. Please try again.

I was previously quite active in Puzzling Stack Exchange posting over 300 puzzles there but I got frustrated with their recent introduction of pop up ads. So I decided to give Codidact a try.

Monica Cellio‭ wrote 7 months ago

Thanks -- I figured it was wrong, since it doesn't account for those first numbers, but it's an interesting puzzle so I took a stab at it. I'll think more about it. And welcome to Codidact! I'm glad you and your puzzles are here. (I wasn't on Puzzling on SE; are there any conventions answerers should follow that aren't obvious? I used a spoiler block on instinct.)

At Puzzling SE, there were some people that were very strict with rules but I am more easy going. As long as people are nice, I will be happy. Using spoiler blocks to prevent others from unintentionally seeing solutions is a great idea.

I created a new tag called sequence and added it to this question but apparently I can’t add a description for this tag because I don’t have the Edit tags ability. I would like to request that I be granted this privilege for posts here tagged puzzles.

To help you decide, on Puzzling Stack Exchange, my reputation is about 35,000. A reputation of 25,000 or more is sufficient to earn all privileges available except for moderator or staff privileges. My Puzzling Stack Exchange profile is available here.

Monica Cellio‭ wrote 7 months ago

Thanks for offering to help. We've granted you the Edit Tags ability.

Thanks for the ability!

Monica Cellio‭ wrote 7 months ago

Thanks for helping to build out better tag descriptions. Win-win. :-)

I have added information about the sequence tag. If you have any comments about improving the description, please let me know.

Monica Cellio‭ wrote 7 months ago

Looks great, thanks!

Just to let you know, I made a minor change to the Puzzles proposal.

I replaced the sample sequence there with a simpler one.