Algebra Lesson 3-4 Quiz v5

1

Which statement describes the sequence -1, 1, -1, 1, -1, ...?

an arithmetic sequence with common difference -10

an arithmetic sequence with common difference 10

not an arithmetic sequence

an arithmetic sequence with common difference -33

1

Which of the following is an arithmetic sequence with a common difference of -3?

1, -3, 9, -81, 243, ...

96, 99, 102, 105, 108, ...

-90, -30, -10, -\frac{10}{3}, -\frac{10}{9}, ...

13, 10, 7, 4, 1, ...

1

Match each sequence with its explicit formula.
For every sequence, let the first term be a_{1}.

Draggable item		Corresponding Item
0, 31, 62, 93, ...		a_{n}=-12+(n-1)(-19)

1

Complete the recursive definition of the sequence 6, 3, 0, -3, ...
a_{1}=6

a_{n} = ___________________

Questions 5-7 pertain to the following scenario:

To make it easier to work with dates, most computer systems store the date as a single number, not a combination of three number for year, month, and day. For example, Microsoft Excel counts the day January 1, 1900 as '1', and then every next day is one number higher. See the table below for an illustration.

Assume that "today" is the day 44285.

In this system, you want to produce a list of dates for a calendar event, starting with today, 44285, and recurring every 5 days.

(photo: exceljet.net)

1

Write a recursive definition for a function, f(n), that will generate the correct sequence of dates.

1

Write an explicit definition for the function, f(n), that will gerenate the correct sequence of dates.

1

Which of the following is a pattern that starts on January 1, 1900 and repeats every 365 days?

f(1)=365, \textrm{ }\textrm{ } f(n)=f(n-1)+1

f(1)=44285, \textrm{ }\textrm{ } f(n)=f(n-1)+365

f(1)=1, \textrm{ }\textrm{ } f(n)=f(n-1)+365

f(1)=44285, \textrm{ }\textrm{ } f(n)=f(n-1)+1

Draggable item		Corresponding Item
0, 31, 62, 93, ...		a_{n}=-12+(n-1)(-19)
-19, -38, -57, -76, ...		a_{n}=-19+(n-1)(-12)
-19, -31, -43, -55, ...		a_{n}=12+(n-1)(-12)
-12,-31,-50,-69, ...		a_{n}=-19n
12, 0, -12, -24, ...		a_{n} = 31n

Algebra Lesson 3-4 Quiz v5

Which statement describes the sequence -1, 1, -1, 1, -1, ...?

Which of the following is an arithmetic sequence with a common difference of -3?

Match each sequence with its explicit formula.For every sequence, let the first term be a_{1}.

Complete the recursive definition of the sequence 6, 3, 0, -3, ...a_{1}=6a_{n} = ___________________

Write a recursive definition for a function, f(n), that will generate the correct sequence of dates.

Write an explicit definition for the function, f(n), that will gerenate the correct sequence of dates.

Which of the following is a pattern that starts on January 1, 1900 and repeats every 365 days?

Which statement describes the sequence -1, 1, -1, 1, -1, ...?

Which of the following is an arithmetic sequence with a common difference of -3?

Match each sequence with its explicit formula.For every sequence, let the first term be a_{1}.

Complete the recursive definition of the sequence 6, 3, 0, -3, ...a_{1}=6a_{n} = ___________________

Write a recursive definition for a function, f(n), that will generate the correct sequence of dates.

Write an explicit definition for the function, f(n), that will gerenate the correct sequence of dates.

Which of the following is a pattern that starts on January 1, 1900 and repeats every 365 days?

Match each sequence with its explicit formula.
For every sequence, let the first term be a_{1}.

Complete the recursive definition of the sequence 6, 3, 0, -3, ...
a_{1}=6

a_{n} = ___________________

Match each sequence with its explicit formula.
For every sequence, let the first term be a_{1}.

Complete the recursive definition of the sequence 6, 3, 0, -3, ...
a_{1}=6

a_{n} = ___________________