Find the next term of the following sequence. type a numerical answer in the space provided. if necessary, use the / key to represent a fraction bar. do not type spaces in your answer.

9, 6, 4,

  8/3

Step-by-step explanation:

The sequence could be a geometric sequence with first term 9 and common ratio 2/3. If that's what it is, the next term is 2/3 of 4, or 8/3 = 2 2/3.

The general term of such a sequence is represented by the exponential function ...

  an = 9·(2/3)^(n-1)

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You can pick any number you like for the next term and then write a polynomial that will describe the sequence up to and including that number. So, to answer this question sensibly, we have to assume the sorts of sequences you're studying are arithmetic and geometric.

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The attached graph shows both exponential and quadratic formulas for the given numbers.

If the sequence is quadratic, the next two numbers are both 3.

First, you factor the equation

(x-1)(x+3)=0

x=1,-3

Hope this helps :)) and btw another resource for this type of question would be desmos graphing calculator where you could just enter in the euqaoitn and get the answer!