Is Tn=-6(4)^n-1 arithmetic geometric or neither
The given sequence, Tn = -6(4)^(n-1), is neither arithmetic nor geometric.
An arithmetic sequence has a common difference, whereas a geometric sequence has a common ratio. In this case, there is neither a common difference nor a common ratio between the terms.
To verify this, we can calculate the terms of the sequence:
T1 = -6(4)^(1-1) = -6(4)^0 = -6(1) = -6
T2 = -6(4)^(2-1) = -6(4)^1 = -6(4) = -24
T3 = -6(4)^(3-1) = -6(4)^2 = -6(16) = -96
As we can see, the differences between the terms are not constant, so it is not an arithmetic sequence. Additionally, the ratio between the terms is not consistent, so it is not a geometric sequence. Therefore, the given sequence is neither arithmetic nor geometric.