Consider the sequence -2, 6, -18, 54
Select all of the statements that are true for the sequence.
The sequence is arithmetic.
O
The sequence is geometric.

Step-by-step explanation:

6÷(-2)=-3

-18÷6=-3

54÷(-18)=-3

Since ,the ratio of two consecutive terms is always 3 then it’s a geometric S.

−1/cotθ

1/cot(−θ)

tan(−θ)

Step-by-step explanation:

The tangent function is a the ratio for an angle defined as opposite / adjacent.  A negative applied to −tan⁡ θ will give the opposite value. This is also true for the function when taken on a negative angle. tan(−θ) = −tan⁡ θ. This identity is also true for sin, sec, and cot. Recall that cotangent is the reciprocal of tangent and is defined as the ratio adjacent / opposite. Taking the reciprocal of cotangent will be the same as tangent. Using this information the following are equivalent:

1/cotθ

−1/cotθ  > The reciprocal of Cot is Tan

1/cot(−θ) > The reciprocal of Cot is Tan and cot(−θ) = −cot⁡ θ.

−1/cot(−θ)

tan θ

tan(−θ)> tan(−θ) = −tan⁡ θ