# Exam: 08.09 Module Eight Review And Practice Test

## Unlock all answers in this set

question
The surface area of an oil spill gets 115% larger every day, represented by the function s(x) = (1.15)x − 1. On the first day, it covered an area of 43 square meters. Which function would be used to find the area of the oil spill on the 23rd day?
(NOT) s(x) = (1.15)43 − 1 (MAYBE) S(x) = 43 (1.15)^(x-1)
question
What is the sum of a 54-term arithmetic sequence where the first term is 6 and the last term is 377?
(NOT) 10,388 (MAYBE) 10,341
question
Find the sum of a finite geometric sequence from n = 1 to n = 8, using the expression −2(3)n − 1.
(NOT) 1,083 (MAYBE) -6,560
question
What is the sum of the arithmetic sequence 151, 137, 123, ..., if there are 26 terms?
(NOT) -650 (MAYBE) -624
question
Every day, there are 2 times more likes on an internet video of a bird which is modeled by the function c(n) = (2)n − 1, where n is the number of days since the video posted. On the first day, there were 122 likes. What is the function that shows the number of likes each day?
c(n) = 122(2)n − 1
question
Which sequence is modeled by the graph below? coordinate plane showing the points 1, 6; 2, 0.6; and 3, 0.06
(NOT) an = one tenth(6)n − 1 (MAYBE) an = 6(−10)n − 1
question
What is the 30th term of the arithmetic series 3, 7, 11, ...?
(NOT) 118
question
Find the 10th partial sum of the summation of negative 5i plus 2, from i equals 1 to infinity.
(NOT) 240
question
What is the common difference for the sequence shown below? coordinate plane showing the points 3, 4; 1, 3; and negative 1, 2
1/2
question
Which sequence is modeled by the graph below? coordinate plane showing the points 1, 1; 2, 3; 3, 9
(NOT) an = (3)(n − 1)
question
Find the sum of the summation of 2 i minus 12, from i equals 7 to 16.
(NOT) 220
question
A new video game is expected to sell 120 copies the first hour at a local game store. After that, the sales will follow the function s(x) = 15(x − 1) where x is the number of hours. What is the function that shows total sales, including the first hour?
s(x) = 120 + 15(x − 1)
question
What is the 7th term of the geometric sequence where a1 = −625 and a2 = 125?
−0.04
question
What is the sum of a 7-term geometric series if the first term is −6, the last term is −24,576, and the common ratio is 4?
(NOT) 19,662 (MAYBE) -32,766
question
Samantha loves to download new music. She originally had 52 songs but plans to purchase 2 new songs each week. She wants to know how many songs she will have after 93 weeks. Which equation should she use?
(NOT) a93 = 93 + 2(52 − 1) (MAYBE) a93 = 52 + 2(93 + 1)
question
What is the 32nd term of the arithmetic sequence where a1 = 15 and a13= −57?
(NOT) -165
question
The number of visitors to a park is expected to follow the function v(x) = 7(x − 1), where x is the number of days since opening. On the first day, there will be a ceremony with 39 people in attendance. What is the function that shows total visitors, including the ceremony?
(NOT) c(x) = 7(x − 1) − 39 (MAYBE) (x) = v(x) +39 = 7(x-1) +39
question
Find the sum of a finite arithmetic sequence from n = 1 to n = 10, using the expression 3n − 8.
(NOT) 116
question
Given the arithmetic sequence an = −5 + 3(n − 1), what is the domain for n?
(NOT) All intergers (MAYBE) All integers where n ≥ 0
question
The total number of fungal spores can be found using an infinite geometric series where a1 = 10 and the common ratio is 3. Find the sum of this infinite series that will be the upper limit of the fungal spores.
(NOT) 1,485
question
Roberto has been studying a type of bacteria that doubles every month. Originally, there were 3 bacterial cells. He wants to know how many there will be after 43 months. Which equation should he use?
(NOT) a43 = 3(2)43
question
What is the sum of a 6-term geometric series if the first term is 24 and the last term is 1,417,176?
(NOT) 1,395,030 (MAYBE) 1594320
question
What is the sum of the geometric sequence 1, −6, 36, ... if there are 6 terms?
(NOT) 6,665
question
What is the sum of the geometric sequence 2, 10, 50, ... if there are 8 terms?
(NOT) 58,593
question
The population of a type of local frog can be found using an infinite geometric series where a1 = 84 and the common ratio is one fifth. Find the sum of this infinite series that will be the upper limit of this population.
(NOT) 425
question
Given the geometric sequence an = 3(−4)n − 1, which of the following values for n lies in the appropriate domain for n?
(NOT) n = 0
question
What is the average rate of change for the sequence shown below? coordinate plane showing the points 1, 4; 2, 2.5; 3, 1; and 4, negative 0.5
(NOT) 2
question
What is the 6th term of the geometric sequence where a1 = 128 and a3 = 8?
0.125
question
Given the geometric sequence where a1 = 1 and the common ratio is 6, what is the domain for n?
(NOT) All intergers
question
What is the 6th term of the geometric sequence 4, −20, 100, ...?
(NOT) 62,500
question
What is the 32nd term of the arithmetic sequence where a1 = −34 and a9 = −122?
(NOT) -386
question
Given the arithmetic sequence an = −3 + 9(n − 1), what is the domain for n?
(NOT) All intergers (MAYBE) All integers where n ≥ 1
question
The surface area of an oil spill gets 131% larger every day, represented by the function s(x) = (1.31)x − 1. On the first day, it covered an area of 21 square meters. Which function would be used to find the area of the oil spill on the 47th day?
S(x) = 21(1.31)^46
question
Peggy has been studying a type of bacteria that triples every month. Originally, there were 2 bacterial cells. She wants to know how many there will be after 24 months. Which equation should she use?
a24 = 2(3)24 − 1
question
Every day, there are 4 times more likes on an internet video of a horse which is modeled by the function c(n) = (4)n − 1, where n is the number of days since the video posted. On the first day, there were 100 likes. What is the function that shows the number of likes each day?
(n) = 100(4)^(n - 1)
question
Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.
-223,948
question
The total number of fungal spores can be found using an infinite geometric series where a1 = 9 and the common ratio is 5. Find the sum of this infinite series that will be the upper limit of the fungal spores.
The series is divergent
question
Given the geometric sequence where a1 = 2 and the common ratio is 8, what is the domain for n?
All intergers where n > 0
question
What is the sum of the arithmetic sequence 153, 139, 125, ..., if there are 22 terms?
132
question
What is the average rate of change for the sequence shown below? coordinate plane showing the points negative 1, 4. 1, 3. 3, 2. 5, 1.
-1/2
question
What is the common difference for the sequence shown below? coordinate plane showing the points 1, 4; 4, 3; and 7, 2
-1/3
question
What is the 32nd term of the arithmetic sequence where a1 = 14 and a13 = −58?
-172
question
What is the 32nd term of the arithmetic sequence where a1 = −32 and a9 = −120?
-373
question
The population of a type of local bass can be found using an infinite geometric series where a1 = 94 and the common ratio is one third. Find the sum of this infinite series that will be the upper limit of this population
232
question
Which sequence is modeled by the graph below? coordinate plane showing the points 1, 1; 2, 2; 3, 4; and 4, 8
n = 1*2^(n-1)
question
What is the sum of the geometric sequence 3, 15, 75, ... if there are 7 terms?
58,593
question
What is the sum of a 58-term arithmetic sequence where the first term is 6 and the last term is 405?
11919
question
What is the 30th term of the arithmetic series 3, 7, 11, ...?
119
question
Which sequence is modeled by the graph below? coordinate plane showing the points 1, 3; 2, 0.6; and 3, 0.12
3(1/5)^n-1
question
A new video game is expected to sell 102 copies the first hour at a local game store. After that, the sales will follow the function s(x) = 11(x − 1) where x is the number of hours. What is the function that shows total sales, including the first hour?
102 + 11(x − 1)
question
What is the 7th term of the geometric sequence 4, −20, 100, ...?
62,500
question
Find the sum of the summation of 2 i minus 9, from i equals 3 to 10.
32
question
What is the 8th term of the geometric sequence where a1 = 256 and a3 = 16?
0.015625
question
What is the 7th term of the geometric sequence where a1 = 625 and a2 = −125?
-0.2
question
Given the geometric sequence an = 4(6)n − 1, which of the following values for n lies in the appropriate domain for n?