6
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Predict the next members of the sequence below and explain what the relationship is.

2, 10, 101, 1211, 14321, ...

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5
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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! $\endgroup$ – Brandon_J May 23 at 15:05
  • $\begingroup$ A very "basic" one yep, but strangely never asked (to my knowledge). $\endgroup$ – Synn May 23 at 15:06

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