pls help me these are due today!
1. Jake has proved that a function, f(x), is a geometric sequence. How did he prove that? (1 point)
A. He showed that an explicit formula could be created.
B. He showed that a recursive formula could be created.
C. He showed that f(n) ÷ f(n − 1) was a constant ratio.
D. He showed that f(n) − f(n − 1) was a constant difference.
2. Barry has been watching the geese that live in his neighborhood. The number of geese changes each week.
n f(n)
1 56
2 28
3 14
4 7
Which function best shows the relationship between n and f(n)? (1 point)
A. f(n) = 28(0.5)n
B. f(n) = 56(0.5)n−1
C. f(n) = 56(0.5)n
D. f(n) = 112(0.5)n−1
3.
Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month, and 80 minutes in the fourth month.
Victoria read a book for 35 minutes every weekend in the first month, 50 minutes in the second month, 65 minutes in the third month, and 80 minutes in the fourth month.
Which statement best describes the methods used by Zach and Victoria to increase the time they spent reading a book? (1 point)
A. Zach’s method is linear because the number of minutes increased by an equal factor every month.
B. Victoria’s method is linear because the number of minutes increased by an equal number every month.
C. Both Victoria's and Zach's methods are exponential because the number of minutes increased by an equal factor every month.
D. Both Victoria's and Zach's methods are exponential because the number of minutes increased by an equal number every month.
4. Match the sequence (term) with the correct type of sequence (definition). (4 points)
1. 48, 24, 12, 6, ...
2. 2, 4, 6, 8, ...
3. 2, 4, 8, 16, ...
4. 28, 24, 20, 16, ...
a. Arithmetic, common difference is 2
b. Arithmetic, common difference is −4
c. Geometric, common ratio is 2
d. Geometric, common ratio is 0.5