What is the next term of the geometric sequence? 27 16 , − 9 4 , 3 , 16 27 ,− 4 9 ,3,start fraction, 27, divided by, 16, end fraction, comma, minus, start fraction, 9, divided by, 4, end fraction, comma, 3, comma

Step-by-step explanation:

We have been given a geometric sequence . We are asked to find the next term of the given sequence.

We know that a geometric sequence is in form , where,

= nth term of the sequence,

= 1st term of sequence,

r = Common ratio.

n = Number of terms.

We can find common ratio of any geometric sequence by dividing any term by its previous term.

So common ratio of our given sequence is .

First term of the sequence is . Upon substituting our given values, we will get:

Therefore, our required sequence would be .

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step-by-step explanation: