Which of the following represents a geometric sequence? check all that apply.

From given choices we have to select those statements which represent geometric sequence.

So first we need to know the what is called geometric sequence.

Take example of sequence A{3,5,7,9,...} and B{2,4,8,16,...}

in sequence A, you can see that differnece between consecutive terms is fixed. That type of of squence is called arithmetic.

While in sequence B, we see that each term is just double of the previous term.

So basically in geometric sequence you will see that each term is found by multiplying some fixed number to it's previous term.

So we will look for those statements which indicates that there is growth or decay by some fixed product of number.

From given statements we see that only statements 2,3 and 5 are growing by some product of fixed number.

Hence only statements 2,3 and 5 are correct answer.

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