##### Notes

This printable supports Common Core Mathematics Standard HSF-BF.A.2

##### Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

# Translating Between Forms of Arithmetic Sequences (Grade 9)

Print Test (Only the test content will print)

## Translating Between Forms of Arithmetic Sequences

1.
Given the explicit form of the arithmetic sequence $a_n = -2 + 7n$, which of the following is the recursive formula for the same sequence?
1. $a_1 = 5; \ \ a_n = a_{n-1} + 7, \ n>1$
2. $a_1 = 5; \ \ a_n = a_{n-1} - 2, \ n>1$
3. $a_1 = -2; \ \ a_n = a_{n-1} +7, \ n>1$
4. $a_1 = -2; \ \ a_n = a_{n-1} - 2, n>1$
2.
What is the recursive form of the sequence $a_n = 16-20n ?$
1. $a_1 = -20; \ \ a_n = a_{n-1} + 16, \ n>1$
2. $a_1 = 16; \ \ a_n = a_{n-1} - 20, \ n>1$
3. $a_1 = -4; \ \ a_n = a_{n-1} + 16, \ n>1$
4. $a_1 = -4; \ \ a_n = a_{n-1} - 20, \ n>1$
3.
For the sequence defined by the explicit formula $a_n = 7 + 3n$, what is the the recursive formula for this sequence?
1. $a_1 = 7; \ \ a_n = a_{n-1} + 3, \ n>1$
2. $a_1 = 10; \ \ a_n = a_{n-1} + 3, \ n>1$
3. $a_1 = 3; \ \ a_n = a_{n-1} + 7, \ n>1$
4. $a_1 = 1; \ \ a_n = a_{n-1} + 7, \ n>1$
4.
What is the recursive form of the sequence given by $a_n = 33 - 4n ?$
1. $a_1 = 33; \ \ a_n = a_{n-1} - 4, \ n>1$
2. $a_1 = -4; \ \ a_n = a_{n-1} +1, \ n>1$
3. $a_1 = 29; \ \ a_n = a_{n-1} - 4, \ n>1$
4. $a_1 = 33; \ \ a_n = a_{n-1} - 4n, \ n>1$
5.
For the sequence defined by $a_n = 2n$, how could the same sequence be written recursively? There may be more than one answer.
1. $a_1 = 2; \ \ a_n = a_{n-1} + 2, \ n>1$
2. $a_1 = 0; \ \ a_n = a_{n-1} + 2, \ n>1$
3. $a_1 = 0, a_2 = 2; \ \ a_n = a_{n-2} + 2, \ n>2$
4. $a_1 = 2, a_2 = 4; \ \ a_n = a_{n-2} + 4, \ n>2$
6.
For the sequence defined by $a_1 = 3; \ \ a_n = a_{n-1} + 5, \ n>1$, what is its explicit form?
1. $a_n = 3 - 5n$
2. $a_n = -2 + 5n$
3. $a_n = 5 - 3n$
4. $a_n = 1 - 2n$
7.
What is the explicit form of the sequence defined by $a_1 = 0; \ \ a_n = a_{n-1} + 3, \ n>1 ?$
1. $a_n = 3 + 3n$
2. $a_n = 3n$
3. $a_n = -3 + n$
4. $a_n = -3 + 3n$
8.
Given the arithmetic sequence defined by $a_1 = -10; \ \ a_n = a_{n-1} + 10, \ n>1$, what is the explicit form of this sequence?
1. $a_n = 10n$
2. $a_n = -10 + 10n$
3. $a_n = 10 - 10n$
4. $a_n = -20 + 10n$
9.
Find the explicit formula of the sequence defined by $a_1 = 85; \ \ a_n = a_{n-1} - 15, \ n>1$.
1. $a_n = 85 - 15n$
2. $a_n = -15 + 100n$
3. $a_n = 100 - 15n$
4. $a_n = 85 - 100n$
10.
For the sequence defined by $a_1 = 4; \ \ a_n = a_{n-1} - 4, n>1$, which of the following describes the same sequence? There may be more than one correct answer.
1. $a_n = 8-4n$
2. $a_n = 4 - 4(n-1)$
3. $a_n = 4 - 4n$
4. $a_n = -4 - 4(n-3)$
You need to be a HelpTeaching.com member to access free printables.
Already a member? Log in for access.    |    Go Back To Previous Page