what is the pattern in this sequence, 64,48,36,27, (81/4) , (243/16)

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The number that got my attention in your sequence was 81/4, this meant that we are going to move from one term to the next by dividing by 4, the following term confirm that theory.

So if we divide 64 by 4, we obtain 16, to get to 48 we...

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The number that got my attention in your sequence was 81/4, this meant that we are going to move from one term to the next by dividing by 4, the following term confirm that theory.

So if we divide 64 by 4, we obtain 16, to get to 48 we have to multiply by 3. Hence the common ratio is 3/4.

Let's check couple more terms to confirm our assumption.

`48*3/4=36 and 36*3/4=27`

Hence you have a geometric sequence with common ratio 3/4, in other words you move from term to the next by multiplying by 3/4.

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