Question

5. Which function gives the correct recursive formula for the sequence?

2, 7, 12, 17, 22, 27


(1 point)
Responses

a1 = 2; an = an −1 +5

a1 = 2; an = an −1 +5


a1 = 5; an = an −1 +2

a1 = 5; an = an −1 +2


a1 = 2; an = an −1 + 7

a1 = 2; an = an −1 + 7


a1 = 7; an = an−1 + 2
4. Given the explicit formula, find the 5th term.

an = −5 +10(n − 1)


(1 point)
Responses

45
45

10
10

-25
-25

35
3. Given the explicit formula: a5= 8 + 7(n − 1)
(4 points)
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
What is the common difference? Press enter key to drop response here.Response input area

What is the first term? Press enter key to drop response here.Response input area

What term is the formula finding? Press enter key to drop response here.Response input area

What value should replace n? Press enter key to drop response here.Response input area
2. Given the Recursive Formula:

a1 = 5


a4 = an−1 +2


(4 points)
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
What is the common difference? Press enter key to drop response here.Response input area
What is the first term? Press enter key to drop response here.Response input area

Which term of the sequence does a4
represent? Press enter key to drop response here.Response input area

Which term does an−1
represent? Press enter key to drop response here.Response input area
1.Select ALL of the following that are examples of an arithmetic sequence. (1 point)
Responses

You start at an elevation of 12,000 feet and climb down 1,000 feet per day.
You start at an elevation of 12,000 feet and climb down 1,000 feet per day.

20, 14, 8, 2, −4, −10

20, 14, 8, 2, −4, −10


You add $2 to a piggy bank and add triple the money you added the previous day for one month.
You add $2 to a piggy bank and add triple the money you added the previous day for one month.

3, 9, 27, 81, 243

3, 9, 27, 81, 243


1, 11, 21, 25, 31, 38

1, 11, 21, 25, 31, 38

Answer 1

Here are the answers:

5) Sequence 2, 7, 12, 17, 22, 27
- Recursive: a1 = 2; an = a(n−1) + 5

4) an = −5 + 10(n − 1)
- a5 = 35

3) an = 8 + 7(n − 1)
- common difference: 7
- first term: 8
- term formula is finding: 5th term
- replace n with: 5

2) Recursive: a1 = 5; an = a(n−1) + 2
- common difference: 2
- first term: 5
- a4 represents: the 4th term
- a(n−1) represents: the (n−1)th term

1) Arithmetic sequence examples (select all that apply):
- You start at 12,000 ft and climb down 1,000 ft per day (Yes)
- 20, 14, 8, 2, −4, −10 (Yes)
- The other three options are not arithmetic (No).