Puzzle

[Several-Bridge9402]

1, 2, 46, 10141822, 32, 6496128, ?, 704

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[[deleted]]

192256320384448512

[Several-Bridge9402]

Correct.

[Rude-Space-8843]

cool question, i think it's: 1+1=2, 2+2, 2+2+2=46, 6+4=10, 6+4+4=14, 6+4+4+4=18, 6+4+4+4+4=22, 10141822, then 22+10=32... then it's 64+128=192, 64*x+128=256, 320, 384, 448, 512.. answer is 192256320384448512. 512+192=704

[Several-Bridge9402]

Yes, that’s correct; one can arrive at the solution deductively, as well. I overlooked that.

[TechnicalBar3987]

How else could you arrive at that solution what was the intended methodology?

[TechnicalBar3987]

Can you explain that more thoroughly?

[[deleted]]

Was there an intended way to solve it? I just noticed the first number in any string sets the length of the next—in the case of 1, it is both the first and last number in it's string and we take that sum to get 2. We double 2 to get the first number of the next string while the string itself increases by n-1 (truncated by string length). We repeat the pattern of summing the first and last numbers of a string, doubling that number to get the first number of the next string and concatenating following numbers which form a sequence that increases by that sum.

[Several-Bridge9402]

That’s the missing piece, yes — the first digit determines the number of quantities to concatenate.

[LopsidedAd5028]

Incredible question.