12/1- 12/2 - SEQUENCES - Pamela Kennedy | Biblioteka

1

Ellis wants to find a function to describe the sequence given in the box, where n represents consecutive integers starting at 1.
Which function represents this sequence?

$a_{n+1} = a_n + 0.5$, starting at $-4.5$

$a_{n+1} = a_n - 0.5$, starting at $-4.5$

$a_{n+1} = a_n \div 0.5$, starting at $-4.5$

$a_{n+1} = a_n \times 0.5$, starting at $-4.5$

1

Study the geometric sequence in the box.
Which best defines the sequence where n is the term number?

$A_n = 2(6)^{n-1}$

$A_n = 2(6)^n$

$A_n = 6(2)^n$

$A_n = 6(2)^{n-1}$

1

The table shows a sequence, where n is the position of a term in the sequence.
Which rule models the table?

$A_n = 7n - 12$

$A_n = 7n + 12$

$A_n = 8n - 13$

$A_n = 8n + 13$

1

Which integer would be the next in the sequence?
8, 27, 64, 125, . . . THE ANSWER IS 216!!!

186

216

250

343

1

Which linear equation passes through the points $(0, -2)$ and $(4, 10)$?

$y = -3x - 2$

$y = -\frac{1}{3}x - 2$

$y = \frac{1}{3}x - 2$

$y = 3x - 2$

1

A population of bacteria doubles in size 3 times a month. If the initial population at week 0 is 300, which equation represents the amount of bacteria present $(P)$ after $t$ months?

$P = 300(2)^{\frac{t}{3}}$

$P = 300(2)^{3t}$

$P = 300(3)^{2t}$

$P = 300(3)^{\frac{1}{2}}$

1

Franco drops a ball from a height of 5 feet. The ball continues to bounce off the ground repeatedly until finally coming to a stop. He notices that each time the ball bounces, it reaches a height $\frac{3}{4}$ times the previous height. Which equation best models relationship between the number of bounces $(x)$ and the height of the ball $(y)$?

$y = 5 + \frac{3}{4}x$

$y = \frac{3}{4} + 5x$

$y = \frac{3}{4}(5)^{x}$

$y = 5\left(\frac{3}{4}\right)^{x}$

1

The sequence shows the total number of coconuts harvested from a grove of palm trees at the end of weeks 1, 2, 3, and 4.
14, 30, 46, 62, . . . . .
Assuming this pattern continues, which function could be used to find the total number of coconuts harvested at the end of week $n$?

$f(n) = n + 16$

$f(n) = 2n + 1$

$f(n) = 16n - 2$

$f(n) = 6n + 14$

1

Drugi mogući odgovor:

7

18

12

23

15

25

1

A sequence is defined recursively as follows.
$a_1 = 2.5$
$a_n = -1 + a_{n-1}$
What are the first five terms of this sequence?

2.5, 1.5, -1.5, -2.5, -3.5

2.5, 1.5, 0.5, -0.5, -1.5

2.5, -2.5, 2.5, -2.5, 2.5

-2.5, -1.5, -0.5, 0.5, 1.5

1

Which is most likely the equation that describes this sequence?
2, -8, 32, -128, _, _

$x_n = 4 + x_{n-1}$

$x_n = -4 + x_{n-1}$

$x_n = 4x_{n-1}$

$x_n = -4x_{n-1}$

1

Consider the sequence.
-1, 2, 5, 8, 11, . . . . .
Which function represents this sequence, where n is the term in the sequence?

$a_n = 3n - 1$

$a_n = 3n - 4$

$a_n = -n + 3$

$a_n = -4n + 3$

1

The explicit function for a geometric sequence is $f(n) = 2(5)^{n-1}$, what is the 8^th number in this sequence?

31,250

156,250

781,250

3,906,250

1

Which of the following equations is graphed below?

$3x - 2y = 8$

$3x + 2y = 8$

$3x - 2y = -8$

$3x + 2y = -8$

1

Which equation represents the line that passes through the points $(3,4)$ and $(1,-2)$?

$y = 3x - 5$

$y = x + 1$

$y = -x + 7$

$y = -3x + 13$

1

Which equation best represents the graph below?

$5y - 6x = 30$

$5y + 6x = 30$

$6y - 5x = 36$

$6y + 5x = 36$

1

An exponential function is graphed in the coordinate grid.
Which equation matches the graph of this function?

$y = x^2$

$y = 2^x$

$y = x^4$

$y = 4^x$

1

Which equation represents the line that passes through the points $(4, 8)$ and $(2, -6)$?

$y = x + 4$

$y = 7x - 20$

$y = -x + 12$

$y = -7x + 36$

1

A group of 600 bacteria is placed in a dish at 1 p.m. and observed. An hour later, at 2 p.m., 2,400 bacteria are observed.
Which function models the number of bacteria in the dish $h$ hours after the bacteria were first placed there?

$g(h) = 600(h)^4$

$g(h) = 600(2)^h$

$g(h) = 600(4)^h$

$g(h) = 2,400(4)^h$

1

The population in a particular area, in years, is shown in the graph.
Which is the function that best models the population?

$P(t) = 300(1.05)^t$

$P(t) = 300(1.5)^t$

$P(t) = 300(t)^{1.05}$

$P(t) = 300(t)^{1.5}$

1

Aida is studying the population growth of rabbits in a state park. Her results are shown in the table, where P(t) represents the population after t years of study. The year 0 represents the initial population when Aida began her study.
Which function best represents the population for any time $t$?

$P(t) = 75(1.13)^t$

$P(t) = 75(0.13)^t$

$P(t) = 75 + 1.13t$

$P(t) = 75 + 0.13t$

Obavezno

1

12/1- 12/2 - SEQUENCES

12/1- 12/2 - SEQUENCES

Ellis wants to find a function to describe the sequence given in the box, where n represents consecutive integers starting at 1.Which function represents this sequence?

Study the geometric sequence in the box.Which best defines the sequence where n is the term number?

The table shows a sequence, where n is the position of a term in the sequence.Which rule models the table?

Which integer would be the next in the sequence?8, 27, 64, 125, . . . THE ANSWER IS 216!!!

Which linear equation passes through the points $(0, -2)$ and $(4, 10)$?

A population of bacteria doubles in size 3 times a month. If the initial population at week 0 is 300, which equation represents the amount of bacteria present $(P)$ after $t$ months?

The sequence shows the total number of coconuts harvested from a grove of palm trees at the end of weeks 1, 2, 3, and 4. 14, 30, 46, 62, . . . . . Assuming this pattern continues, which function could be used to find the total number of coconuts harvested at the end of week $n$?

A sequence is defined recursively as follows.$a_1 = 2.5$$a_n = -1 + a_{n-1}$What are the first five terms of this sequence?

Which is most likely the equation that describes this sequence?2, -8, 32, -128, _____, _____

Consider the sequence.-1, 2, 5, 8, 11, . . . . .Which function represents this sequence, where n is the term in the sequence?

The explicit function for a geometric sequence is $f(n) = 2(5)^{n-1}$, what is the 8th number in this sequence?

Which of the following equations is graphed below?

Which equation represents the line that passes through the points $(3,4)$ and $(1,-2)$?

Which equation best represents the graph below?

An exponential function is graphed in the coordinate grid.Which equation matches the graph of this function?

Which equation represents the line that passes through the points $(4, 8)$ and $(2, -6)$?

A group of 600 bacteria is placed in a dish at 1 p.m. and observed. An hour later, at 2 p.m., 2,400 bacteria are observed.Which function models the number of bacteria in the dish $h$ hours after the bacteria were first placed there?

The population in a particular area, in years, is shown in the graph.Which is the function that best models the population?

Aida is studying the population growth of rabbits in a state park. Her results are shown in the table, where P(t) represents the population after t years of study. The year 0 represents the initial population when Aida began her study.Which function best represents the population for any time $t$?

Rate your level of understanding and identify one thing that you learned in the lesson today.

Ellis wants to find a function to describe the sequence given in the box, where n represents consecutive integers starting at 1.Which function represents this sequence?

Study the geometric sequence in the box.Which best defines the sequence where n is the term number?

The table shows a sequence, where n is the position of a term in the sequence.Which rule models the table?

Which integer would be the next in the sequence?8, 27, 64, 125, . . . THE ANSWER IS 216!!!

Which linear equation passes through the points $(0, -2)$ and $(4, 10)$?

A population of bacteria doubles in size 3 times a month. If the initial population at week 0 is 300, which equation represents the amount of bacteria present $(P)$ after $t$ months?

The sequence shows the total number of coconuts harvested from a grove of palm trees at the end of weeks 1, 2, 3, and 4. 14, 30, 46, 62, . . . . . Assuming this pattern continues, which function could be used to find the total number of coconuts harvested at the end of week $n$?

A sequence is defined recursively as follows.$a_1 = 2.5$$a_n = -1 + a_{n-1}$What are the first five terms of this sequence?

Which is most likely the equation that describes this sequence?2, -8, 32, -128, _____, _____

Consider the sequence.-1, 2, 5, 8, 11, . . . . .Which function represents this sequence, where n is the term in the sequence?

The explicit function for a geometric sequence is $f(n) = 2(5)^{n-1}$, what is the 8th number in this sequence?

Which of the following equations is graphed below?

Which equation represents the line that passes through the points $(3,4)$ and $(1,-2)$?

Which equation best represents the graph below?

An exponential function is graphed in the coordinate grid.Which equation matches the graph of this function?

Which equation represents the line that passes through the points $(4, 8)$ and $(2, -6)$?

A group of 600 bacteria is placed in a dish at 1 p.m. and observed. An hour later, at 2 p.m., 2,400 bacteria are observed.Which function models the number of bacteria in the dish $h$ hours after the bacteria were first placed there?

The population in a particular area, in years, is shown in the graph.Which is the function that best models the population?

Aida is studying the population growth of rabbits in a state park. Her results are shown in the table, where P(t) represents the population after t years of study. The year 0 represents the initial population when Aida began her study.Which function best represents the population for any time $t$?

Rate your level of understanding and identify one thing that you learned in the lesson today.

Ellis wants to find a function to describe the sequence given in the box, where n represents consecutive integers starting at 1.
Which function represents this sequence?

Study the geometric sequence in the box.
Which best defines the sequence where n is the term number?

The table shows a sequence, where n is the position of a term in the sequence.
Which rule models the table?

Which integer would be the next in the sequence?
8, 27, 64, 125, . . . THE ANSWER IS 216!!!

The sequence shows the total number of coconuts harvested from a grove of palm trees at the end of weeks 1, 2, 3, and 4.
14, 30, 46, 62, . . . . .
Assuming this pattern continues, which function could be used to find the total number of coconuts harvested at the end of week $n$?

A sequence is defined recursively as follows.
$a_1 = 2.5$
$a_n = -1 + a_{n-1}$
What are the first five terms of this sequence?

Which is most likely the equation that describes this sequence?
2, -8, 32, -128, _, _

Consider the sequence.
-1, 2, 5, 8, 11, . . . . .
Which function represents this sequence, where n is the term in the sequence?

The explicit function for a geometric sequence is $f(n) = 2(5)^{n-1}$, what is the 8^th number in this sequence?

An exponential function is graphed in the coordinate grid.
Which equation matches the graph of this function?

A group of 600 bacteria is placed in a dish at 1 p.m. and observed. An hour later, at 2 p.m., 2,400 bacteria are observed.
Which function models the number of bacteria in the dish $h$ hours after the bacteria were first placed there?

The population in a particular area, in years, is shown in the graph.
Which is the function that best models the population?

Aida is studying the population growth of rabbits in a state park. Her results are shown in the table, where P(t) represents the population after t years of study. The year 0 represents the initial population when Aida began her study.
Which function best represents the population for any time $t$?

Ellis wants to find a function to describe the sequence given in the box, where n represents consecutive integers starting at 1.
Which function represents this sequence?

Study the geometric sequence in the box.
Which best defines the sequence where n is the term number?

The table shows a sequence, where n is the position of a term in the sequence.
Which rule models the table?

Which integer would be the next in the sequence?
8, 27, 64, 125, . . . THE ANSWER IS 216!!!

The sequence shows the total number of coconuts harvested from a grove of palm trees at the end of weeks 1, 2, 3, and 4.
14, 30, 46, 62, . . . . .
Assuming this pattern continues, which function could be used to find the total number of coconuts harvested at the end of week $n$?

A sequence is defined recursively as follows.
$a_1 = 2.5$
$a_n = -1 + a_{n-1}$
What are the first five terms of this sequence?

Which is most likely the equation that describes this sequence?
2, -8, 32, -128, _, _

Consider the sequence.
-1, 2, 5, 8, 11, . . . . .
Which function represents this sequence, where n is the term in the sequence?

The explicit function for a geometric sequence is $f(n) = 2(5)^{n-1}$, what is the 8^th number in this sequence?

An exponential function is graphed in the coordinate grid.
Which equation matches the graph of this function?

A group of 600 bacteria is placed in a dish at 1 p.m. and observed. An hour later, at 2 p.m., 2,400 bacteria are observed.
Which function models the number of bacteria in the dish $h$ hours after the bacteria were first placed there?

The population in a particular area, in years, is shown in the graph.
Which is the function that best models the population?

Aida is studying the population growth of rabbits in a state park. Her results are shown in the table, where P(t) represents the population after t years of study. The year 0 represents the initial population when Aida began her study.
Which function best represents the population for any time $t$?