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Q: Is this sequence arithmetic or geometric 12 48 ... 192?

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It is -148.

The numbers could be from the sequence with a(1) = -3 and the common ratio r = (-2)If so, thena(7) = -3*(-2)^6 = -3*64 = -192.Of course, it is entirely possible that the numbers do not form a geometric sequence but a polynomial sequence such asa(n) = (27*n^3 - 189*n^2 + 396*n - 240)/2 and if so, a(7) = 1266.

An arithmetic sequence is where a constant is added to the base case, and then added again until the proscribed limit is reached. An example is 1, 3, 5, 7, where the constant is 2 and the base case is 1. The constant can be negative, such as -4, base case 16, which leads to a descending sequence of 16 12 8 4 0 -4 -8...

No, it is 12.

12

Related questions

The sequence 216 12 23 is neither arithmetic nor geometric.

It is neither.

No, geometric, common ratio 2

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

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

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

The factor is 4. 12288/192 = 64 ie 4 cubed, so it is the next term but two, ie the seventh. (192, 768, 3072, 12288)

That series of numbers is a geometric progression. Each successive number is multiplied by 4. Therefore, after 12 x 4 = 48 comes 48 x 4 = 192, and after 192 comes 192 x 4 = 768.

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

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,.....

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

The ratio is 4.

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