If clocks read 300pm on the -5 time zone, what time do the clocks read in the -2 time zone

Mathematics

1 answer:

gayaneshka [121]2 years ago

3 0

It will read 6:00pm on -2 time zone.

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starting with $a_1=10$ (because you can start the combination with any one of the ten available digits 0 through 9).

For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).

By substitution, you have

$a_{n+1}=9a_n=9^2a_{n-1}=9^3a_{n-2}=\cdots=9^na_1=10\times9^n$

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$a_{55}=10\times9^{54}$

possible combinations (a number with 53 digits).

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