It could be either. The answer depends on how many terms if any are between 48 and 192.
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
The sequence 216 12 23 is neither arithmetic nor geometric.
It is neither.
No, geometric, common ratio 2
The sequence 2, 3, 5, 8, 12 is neither arithmetic nor geometric. In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant. In this sequence, there is no constant difference or ratio between consecutive terms, so it does not fit the criteria for either type of sequence.
What is the eighth term of the geometric sequence 3, 12, 48, 192, ... ?
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.
Yes, that's what a geometric sequence is about.
tn = t1+(n-1)d -- for arithmetic tn = t1rn-1 -- for geometric
12, 6, 0, -6, ...
An arithmetic sequence in one in which consecutive terms differ by a fixed amount,or equivalently, the next term can found by adding a fixed amount to the previous term. Example of an arithmetic sequence: 2 7 12 17 22 ... Here the the fixed amount is 5. I suppose any other type of sequence could be called non arithmetic, but I have not heard that expression before. Another useful kind of sequence is called geometric which is analogous to arithmetic, but multiplication is used instead of addition, i.e. to get the next term, multiply the previous term by some fixed amount. Example: 2 6 18 54 162 ... Here the muliplier is 3.
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,.....