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This is not a geometric series since -18/54 is not the same as -36/12

Q: What is the r value of the following geometric sequence -81 54 -36 12?

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Yes, that's what a geometric sequence is about.

A geometric sequence is a sequence where each term is a constant multiple of the preceding term. This constant multiplying factor is called the common ratio and may have any real value. If the common ratio is greater than 0 but less than 1 then this produces a descending geometric sequence. EXAMPLE : Consider the sequence : 12, 6, 3, 1.5, 0.75, 0.375,...... Each term is half the preceding term. The common ratio is therefore ½ The sequence can be written 12, 12(½), 12(½)2, 12(½)3, 12(½)4, 12(½)5,.....

It is neither.

36

What is the eighth term of the geometric sequence 3, 12, 48, 192, ... ?

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Yes, that's what a geometric sequence is about.

The sequence 216 12 23 is neither arithmetic nor geometric.

A geometric sequence is a sequence where each term is a constant multiple of the preceding term. This constant multiplying factor is called the common ratio and may have any real value. If the common ratio is greater than 0 but less than 1 then this produces a descending geometric sequence. EXAMPLE : Consider the sequence : 12, 6, 3, 1.5, 0.75, 0.375,...... Each term is half the preceding term. The common ratio is therefore ½ The sequence can be written 12, 12(½), 12(½)2, 12(½)3, 12(½)4, 12(½)5,.....

It is neither.

It is neither. It is a quadratic sequence. Un = (x2 - x + 4)/2 for n = 1, 2, 3, ...

The ratio is 4.

18 - 6n

No, geometric, common ratio 2

36

Un = 4*3n-1 S9 = 39364

What is the eighth term of the geometric sequence 3, 12, 48, 192, ... ?

12, 6, 0, -6, ...