Predict the next members of the sequence below and explain what the relationship is.
2, 10, 101, 1211, 14321, ...
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1 Answer
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2
The answer is:
$150145$
Because:
Base-$2$ of $2$ is $10$,
Base-$3$ of $10$ is $101$,
Base-$4$ of $101$ is $1211$,
Base-$5$ of $1211$ is $14321$,
Base-$6$ of $14321$ is $150145$
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$\begingroup$ Oooh - that's actually a clever number sequence! $\endgroup$ May 23, 2019 at 15:05
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$\begingroup$ A very "basic" one yep, but strangely never asked (to my knowledge). $\endgroup$– SynnMay 23, 2019 at 15:06