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Mathematics 20 Online
OpenStudy (anonymous):

3^0 3^1 3^2 3^3 3^4 3^5 1 3 9 27 81 243 If the series of numbers continues, what is the digit in the unit column for 3^10?

OpenStudy (anonymous):

Explain this question more, please. "what is the digit in the unit of column for 3" This confuses me.

OpenStudy (anonymous):

that's what it says. its either 1, 3, 7, or 9.

OpenStudy (anonymous):

sorry. hold on

OpenStudy (anonymous):

ther ya go, i misread

OpenStudy (anonymous):

You can manually calculate \(3^{10}.\) However, you can also look at the pattern: \(\{1,3,9,7,1,3,\dots\}.\) What do you think comes after \(3\) and so forth? Once you get to the tenth digit there, you'll have the answer.

OpenStudy (anonymous):

ok,thanks

OpenStudy (anonymous):

Actually, disregard the pattern. It doesn't seem to be correct.

OpenStudy (anonymous):

That pattern is correct @Limitless.

OpenStudy (anonymous):

@Wired, I misunderstood it, then. Could you provide the answer based on that pattern?

OpenStudy (anonymous):

0 1 1 3 2 9 3 7 4 1 5 3 6 9 7 7 8 1 9 3 10 9

OpenStudy (anonymous):

I forgot which was the zero position... Nice job. :)

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