Answer:
a)
, where
.
b)
Step-by-step explanation:
The given sequence is
.
The first term of the sequence is

The second term is 
The common ratio for this sequence can be determined using any two consecutive terms in the sequence.
Using the first two terms, the common ratio is


a) The recursive rule is given by,

, where
.
b) The explicit rule is given by
Answer:
J
Step-by-step explanation:
Answer:
4:3
Step-by-step explanation:
The ratio is 20 girls to 15 boys as it says 20:15 ,
but this is simply 4 parts to 3 parts or 4:3
If f(θ) = a cos(bθ), then from the first condition we find
f(0) = 3 ⇒ a cos(0) = 3 ⇒ a = 3
Together with the other conditions, it's evident that f(θ) has a period of π, so
2π/b = π ⇒ b = 2
so that
f(θ) = 3 cos(2θ)