we are given
geometric sequence -36, 6, -1, 1/6, ...
first term is -36
now, we can find common ratio
now, we can find nth term
now, we can plug values
and we get
now, we can find 5th term , 6th term, 7th term
fifth term:
sixth term:
seventh term:
so, next terms are
,
, .............Answer
Answer:
θ = -33.69°
Step-by-step explanation:
For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0
Dividing both equations:
Therefore:
arctan(θ) = -2/3
θ = -33.69°
The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)
Have a nice day!