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Mathematics 12 Online
OpenStudy (anonymous):

What goes next in the pattern:1, 3, 8, 9, 27, 27, 64, 81, __?

OpenStudy (solomonzelman):

you didn't mean to write 27 twice, did you ?

OpenStudy (anonymous):

That's part of it. It makes the whole problem harder. @SolomonZelman

OpenStudy (solomonzelman):

yeah, I am trying to think of the pattern...

OpenStudy (anonymous):

me 2.. It's so hard. My friend wanted me to help him figure it out, but I'm stuck.

ganeshie8 (ganeshie8):

1, 3, 8, 9, 27, 27, 64, 81, 125, 243, ...

ganeshie8 (ganeshie8):

its just an interleave of two sequences : \(\large n^3\) and \(\large 3^n\)

OpenStudy (anonymous):

How did you find that out? I was trying many different methods, but i couldn't find it

ganeshie8 (ganeshie8):

1, 8, 27, 64, 125

ganeshie8 (ganeshie8):

they're clearly cubes

ganeshie8 (ganeshie8):

3, 9, 27, 81... they're clearly powers of 3

OpenStudy (anonymous):

ohhhhhhhh. It seems so simple now. Thanks

ganeshie8 (ganeshie8):

it just needs to strike that its an interleaving sequence... thats all :)

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