Answer:
- r=3

Step-by-step explanation:
Given the sequence

The common ratio is determined by the division of term by the previous term.
Common Ratio, 
A recursive formula is a formula that defines each term of a sequence using preceding term(s).
For the given sequence, the recursive formula is:

Answer:
5
Step-by-step explanation:
Answer:
5 + 2q = 15
Step-by-step explanation:
The perimeter is 4 + 2 + q + (q - 1) = 15.
Add 4 + 2 then subtract the sum from both sides.
q + (q - 1) = 9
This can be simplified further by adding the "q" variables together.
2q - 1 = 9
Add 1 to both sides.
2q = 10
Divide both sides by 2 to isolate q.
q = 5
Answer:
b. interest rate per period
Step-by-step explanation:
We know that
Annual interest rate is APR or (r)
Po is initial amount
n is number of periods
t is time in years
A is the amount after t years
so,
i is the interest rate per period
Hence ,
answer is
i is the interest rate per period
Answer:
P(A) = 0.2
P(B) = 0.25
P(A&B) = 0.05
P(A|B) = 0.2
P(A|B) = P(A) = 0.2
Step-by-step explanation:
P(A) is the probability that the selected student plays soccer.
Then:

P(B) is the probability that the selected student plays basketball.
Then:

P(A and B) is the probability that the selected student plays soccer and basketball:

P(A|B) is the probability that the student plays soccer given that he plays basketball. In this case, as it is given that he plays basketball only 10 out of 50 plays soccer:

P(A | B) is equal to P(A), because the proportion of students that play soccer is equal between the total group of students and within the group that plays basketball. We could assume that the probability of a student playing soccer is independent of the event that he plays basketball.