Exam: 08.09 Module Eight Review And Practice Test

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?

What is the sum of a 54-term arithmetic sequence where the first term is 6 and the last term is 377?

Find the sum of a finite geometric sequence from n = 1 to n = 8, using the expression −2(3)n − 1.

What is the sum of the arithmetic sequence 151, 137, 123, ..., if there are 26 terms?

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?

Which sequence is modeled by the graph below? coordinate plane showing the points 1, 6; 2, 0.6; and 3, 0.06

What is the 30th term of the arithmetic series 3, 7, 11, ...?

Find the 10th partial sum of the summation of negative 5i plus 2, from i equals 1 to infinity.

What is the common difference for the sequence shown below? coordinate plane showing the points 3, 4; 1, 3; and negative 1, 2

Which sequence is modeled by the graph below? coordinate plane showing the points 1, 1; 2, 3; 3, 9

Find the sum of the summation of 2 i minus 12, from i equals 7 to 16.

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?

What is the 7th term of the geometric sequence where a1 = −625 and a2 = 125?

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?

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?

What is the 32nd term of the arithmetic sequence where a1 = 15 and a13= −57?

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?

Find the sum of a finite arithmetic sequence from n = 1 to n = 10, using the expression 3n − 8.

Given the arithmetic sequence an = −5 + 3(n − 1), what is the domain for n?

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.

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?

What is the sum of a 6-term geometric series if the first term is 24 and the last term is 1,417,176?

What is the sum of the geometric sequence 1, −6, 36, ... if there are 6 terms?

What is the sum of the geometric sequence 2, 10, 50, ... if there are 8 terms?

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.

Given the geometric sequence an = 3(−4)n − 1, which of the following values for n lies in the appropriate domain for n?

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

What is the 6th term of the geometric sequence where a1 = 128 and a3 = 8?

Given the geometric sequence where a1 = 1 and the common ratio is 6, what is the domain for n?

What is the 6th term of the geometric sequence 4, −20, 100, ...?

What is the 32nd term of the arithmetic sequence where a1 = −34 and a9 = −122?

Given the arithmetic sequence an = −3 + 9(n − 1), what is the domain for n?

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?

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?

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?

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

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.

Given the geometric sequence where a1 = 2 and the common ratio is 8, what is the domain for n?

What is the sum of the arithmetic sequence 153, 139, 125, ..., if there are 22 terms?

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.

What is the common difference for the sequence shown below? coordinate plane showing the points 1, 4; 4, 3; and 7, 2

What is the 32nd term of the arithmetic sequence where a1 = 14 and a13 = −58?

What is the 32nd term of the arithmetic sequence where a1 = −32 and a9 = −120?

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

Which sequence is modeled by the graph below? coordinate plane showing the points 1, 1; 2, 2; 3, 4; and 4, 8

What is the sum of the geometric sequence 3, 15, 75, ... if there are 7 terms?

What is the sum of a 58-term arithmetic sequence where the first term is 6 and the last term is 405?

What is the 30th term of the arithmetic series 3, 7, 11, ...?

Which sequence is modeled by the graph below? coordinate plane showing the points 1, 3; 2, 0.6; and 3, 0.12

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?

What is the 7th term of the geometric sequence 4, −20, 100, ...?

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

What is the 8th term of the geometric sequence where a1 = 256 and a3 = 16?

What is the 7th term of the geometric sequence where a1 = 625 and a2 = −125?

Given the geometric sequence an = 4(6)n − 1, which of the following values for n lies in the appropriate domain for n?

What is the sum of the geometric sequence −1, 6, −36, ... if there are 7 terms?

Find the sum of a finite arithmetic sequence from n = 1 to n = 15, using the expression 2n + 5.

Find the 11th partial sum of the summation of negative 7i plus 22, from i equals 1 to infinity.