Question

3) Which sequence is modeled by the graph below?

coordinate plane showing the points (1, 2); (2, 2); (3, 2); (4, 2)

A) an = 2(n − 1)1

B) an = 2(1)n − 1

C) an = 2 + (1)n − 1

D) an = (2)(n − 1)


4) Find the sum of the summation of 2 i minus 9, from i equals 3 to 10.

A) 52

B) 26

C) 13

D) 32

Answer 1

5) Every day, there are 3 times more likes on an internet video of a cat which is modelled by the function c(n) = (3)n − 1, where n is the number of days since the video posted. On the first day, there were 143 likes. What is the function that shows the number of likes each day?

A) c(n) = (3)^(143)(n − 1)

B) c(n) = (143)^n − 1

C) c(n) = (3)^143 − 1

D) c(n) = 143(3)^n − 1


6) Given the geometric sequence where a1 = −3 and the common ratio is 9, what is the domain for n?

A) All integers

B) All integers where n ≥ −1

C) All integers where n ≥ 1

D) All integers where n ≥ 0

Answer 2

7) Grace loves to download new music. She originally had 47 songs but plans to purchase 3 new songs each week. She wants to know how many songs she will have after 104 weeks. Which equation should she use?

A) a104 = 104 + 3(47 − 1)

B) a104 = 104 + 3(47 + 1)

C) a104 = 47 + 3(104 − 1)

D) a104 = 47 + 3(104 + 1)


8) Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.

A) 111,325

B) 526

C) 782

D) 223,948

Answer 3

9) Find the 10th partial sum of the summation of 5i plus 2, from i equals 3 to infinity.

A) 222

B) 240

C) 255

D) -355


10) Which sequence is modeled by the graph below?

coordinate plane showing the points (1, 4); (2, 0.8); and (3, 0.16)

A) an = 4(−5)n − 1

B) an = 4(one fifth)n − 1

C) an = 0.4(5)n − 1

D) an = one fifth(4)n − 1

Answer 4

11) The number of visitors to a park is expected to follow the function v(x) = 5(x − 1), where x is the number of days since opening. On the first day, there will be a ceremony with 20 people in attendance. What is the function that shows total visitors, including the ceremony?

A) c(x) = 20 + 5(x − 1)

B) c(x) = 20 − 5(x − 1)

C) c(x) = 5(x − 1) − 20

D) c(x) = 100x − 100


12) Given the geometric sequence an = 2(−3)n − 1, which of the following values for n lies in the appropriate domain for n?

A) n = 1

B) n = 0

C) n = −1

D) They all lie in the domain

Answer 5

did you ever find the answer to #11?