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2.3 Arithmetic Sequences (Due 10-25-22)

Posljednje ažuriranje 5 months ago

54 questions

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Obavezno

5

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5

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2

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2

2

2

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10

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30

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2

5

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10

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10

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20

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10

Day 2 10/24/22

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3

A.SSE.1.a

F.BF.1.a

F.IF.3

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10

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Constructing Arithmetic Sequences

Essential Question: What is an arithmetic sequence?

Learning Target: Students will be able to create an explicit rule describing an arithmetic sequence and use it to calculate any term in that sequence.

Complete the entire document and show all work for credit.

Pitanje 1

1.

Pitanje 2

2.

What is the pattern of this sequence?

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Any term in an arithmetic sequence is equal to the first term plus a term number minus 1 times the common difference.

Pitanje 3

3.

What does f(1) mean?

Pitanje 4

4.

What does f(n) mean?

Pitanje 5

5.

What does d mean?

Pitanje 6

6.

What does n mean?

Pitanje 7

7.

Use the following situation involving an arithmetic sequence to construct a explicit rule.

Pitanje 8

8.

Practice:
Complete the Arithmetic Sequence Example 1

Pitanje 9

9.

Practice:
Complete the Arithmetic Sequence Example 2

Pitanje 10

10.

Practice:
Graph the Arithmetic Sequence Example 1

Pitanje 11

11.

Practice:
Graph the Arithmetic Sequence Example 2

Pitanje 12

12.

What is the first term of this arithmetic sequence?

Pitanje 13

13.

What is the common difference of this arithmetic sequence?

Pitanje 14

14.

What is the explicit rule of this arithmetic sequence?

Pitanje 15

15.

What is the explicit rule of this arithmetic sequence?

Pitanje 16

16.

What is the explicit rule of this arithmetic sequence?

Pitanje 17

17.

What is the explicit rule of this arithmetic sequence?

Pitanje 18

18.

Pitanje 19

19.

Obavezno

15

Obavezno

15

Obavezno

15

Obavezno

10

Obavezno

10

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10

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10

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Pitanje 40

40.

What is the explicit rule of this arithmetic sequence?

Pitanje 41

41.

Find the first 4 terms of this arithmetic sequence:

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Pitanje 42

42.

Find the first 4 terms of this arithmetic sequence:

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Pitanje 43

43.

Find the 12th term of this arithmetic sequence:

Pitanje 44

44.

Find the 9th term of this arithmetic sequence:

Pitanje 45

45.

Pitanje 46

46.

Pitanje 47

47.

Pitanje 48

48.

You start a side hustle on OfferUp. If you need to ship something across the country, it cost 5.75 for the first pound and $0.75 for each additional pound. Construct an explicit rule that represents this situation.

Pitanje 49

49.

You start a side hustle on OfferUp. If you need to ship something across the country, it cost 5.75 for the first pound and $0.75 for each additional pound.
How much would it cost to ship a pair of 30lb weights?

Pitanje 50

50.

Luigi borrows 960 gold coins from Princess Peach to fix his go-kart. He promises to pay her back 120 gold coins every month. Construct an explicit rule that represents this situation.

Pitanje 51

51.

Vocabulary: Consider the following arithmetic sequence: 25, 19, 13, 7, ...
Is the common difference 6 or -6?

-6

6

Pitanje 52

52.

Consider the following arithmetic sequence: 25, 19, 13, 7, ...
Write the explicit rule for this arithmetic sequence.

Pitanje 53

53.

Error Analysis:
Describe the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28, ...

Pitanje 54

54.

Error Analysis:
Find the real the tenth term of the arithmetic sequence 4, 12, 20, 28, ...

Day 2 10/20/22

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Pitanje 20

20.

Find the next three terms of each sequence.

3, 7, 11, 15, , ,

Pitanje 21

21.

Find the next three terms of each sequence.

22, 20, 18, 16, , ,

Pitanje 22

22.

Find the next three terms of each sequence.

-2, -5, -8, -11, , ,

Pitanje 23

23.

Find the first term and common difference in this sequence:

1, 3, 5, 7, ...

a₁=

d=

Pitanje 24

24.

Write the explicit formula to find the nᵗʰ term of this sequence (you can use either notation):
1, 3, 5, 7, ...

Pitanje 25

25.

Use the explicit formula you created from the last problem to find the 24ᵗʰ term of this sequence:
1, 3, 5, 7, ...

Pitanje 26

26.

Find the first term and common difference in this sequence:

-1, -4, -7, -10, ...

a₁=

d=

Pitanje 27

27.

Write an equation to find the nᵗʰ term of this sequence (you can use either notation):
-1, -4, -7, -10, ...

Pitanje 28

28.

Use the explicit formula you created from the last problem to find the 24ᵗʰ term of this sequence:
-1, -4, -7, -10, ...

Pitanje 29

29.

Find the first term and common difference in this sequence:

-4, -9, -14, -19, ...

a₁=

d=

Pitanje 30

30.

Write an explicit formula to find the nᵗʰ term of this sequence (you can use either notation):
-4, -9, -14, -19, ...

Pitanje 31

31.

Use the explicit formula you created from the last problem to find the 24ᵗʰ term of this sequence:
-4, -9, -14, -19, ...

Pitanje 32

32.

Find the first term and common difference in this sequence:

7, 13, 19, 25, ...

a₁=

d=

7, 13, 19, 25, ...

Pitanje 33

33.

Write an explicit formula to find the nᵗʰ term of this sequence (you can use either notation):
7, 13, 19, 25, ...

Pitanje 34

34.

Use the explicit formula you created from the last problem to find the 24ᵗʰ term of this sequence:
7, 13, 19, 25, ...

Pitanje 35

35.

Charlie deposited $115 in a savings account. Each week thereafter, he deposits $35 into the account.
Write a formula to represent this sequence.

Pitanje 36

36.

Charlie deposited $115 in a savings account. Each week thereafter, he deposits $35 into the account.
How much total money has Charlie
deposited after 30 weeks?

Pitanje 37

37.

As manager of the soccer team, Wendy is to hand out cups of water at practice. Each
cup of water is 4 ounces. She begins practice with a 128-ounce cooler of water.
Write a formula to represent this sequence.

Pitanje 38

38.

As manager of the soccer team, Wendy is to hand out cups of water at practice. Each
cup of water is 4 ounces. She begins practice with a 128-ounce cooler of water.
How much water is remaining after she
hands out the 14ᵗʰ cup?

Pitanje 39

39.

As manager of the soccer team, Wendy is to hand out cups of water at practice. Each
cup of water is 4 ounces. She begins practice with a 128-ounce cooler of water.
How many cups can she fill up before she runs out of water?