Here is my playthrough with my though process:
:::spoiler
>!0) [2, 4, 6] is VALID
>!Now I think, let’s check if the rule is *2>!1) [31, 62, 93] is VALID
>!Let’s check if the rule is always true with 3 random numbers.>!2) [6534525, 142536, 456342532] is NOT VALID
>!I wanted to check multiply by 3, but I repeated multiply by 2>!3) [5, 10, 15] is VALID
>!Checking multiply by 3>!4) [7, 21, 63] is VALID
>!Checking multiply by 10>!5) [50, 500, 5000] is VALID
>!Now I am thinking: maybe any multiplication is ok? I cannot try them all, let’s try constant addition:>!6) [34, 35, 36] is VALID
>!Let’s try constant subtraction>!7) [5, 4, 3] is NOT VALID
>!Let’s try increasing>!8) [5, 64, 234] is VALID
>!Let’s try increasing with random numbers>!9) [12345, 123456, 1234567] is VALID
>!Let’s try increasing or constant.>!10) [5, 5, 6] is NOT VALID
>!Now I have made up my mind!
>!After 10 tests, your guess was . . .
>!”The sequence is valid if it is strictly increasing.”
:::
See FAQ for spoiler tags, it seems mods haven’t seen your request. https://www.lesswrong.com/faq#How_do_I_insert_spoiler_protections_
I tried both and neither works
Hmm, yeah it’s a bit hard to try stuff when there’s no good preview. Usually I’d recommend rot13 chiffer if all else fails but for number sequences that makes less sense.
Here is my playthrough with my though process:
:::spoiler
>!0) [2, 4, 6] is VALID
>!Now I think, let’s check if the rule is *2
>!1) [31, 62, 93] is VALID
>!Let’s check if the rule is always true with 3 random numbers.
>!2) [6534525, 142536, 456342532] is NOT VALID
>!I wanted to check multiply by 3, but I repeated multiply by 2
>!3) [5, 10, 15] is VALID
>!Checking multiply by 3
>!4) [7, 21, 63] is VALID
>!Checking multiply by 10
>!5) [50, 500, 5000] is VALID
>!Now I am thinking: maybe any multiplication is ok? I cannot try them all, let’s try constant addition:
>!6) [34, 35, 36] is VALID
>!Let’s try constant subtraction
>!7) [5, 4, 3] is NOT VALID
>!Let’s try increasing
>!8) [5, 64, 234] is VALID
>!Let’s try increasing with random numbers
>!9) [12345, 123456, 1234567] is VALID
>!Let’s try increasing or constant.
>!10) [5, 5, 6] is NOT VALID
>!Now I have made up my mind!
>!After 10 tests, your guess was . . .
>!”The sequence is valid if it is strictly increasing.”
:::
See FAQ for spoiler tags, it seems mods haven’t seen your request. https://www.lesswrong.com/faq#How_do_I_insert_spoiler_protections_
I tried both and neither works
Hmm, yeah it’s a bit hard to try stuff when there’s no good preview. Usually I’d recommend rot13 chiffer if all else fails but for number sequences that makes less sense.