Arithmetic Sequences and Problem Solving

Arithmetic Sequences and Problem Solving

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Hard

CCSS
HSF.BF.A.2, 7.EE.B.4A, 6.EE.B.6

+1

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSF.BF.A.2
,
CCSS.7.EE.B.4A
,
CCSS.6.EE.B.6
CCSS.6.EE.B.7
,
The video tutorial explains how to solve a problem using arithmetic sequences. Chris watches a series of episodes, increasing by three each day. The task is to determine when he will finish 30 episodes. The tutorial covers identifying sequence terms, calculating the common difference, and solving the equation to find the final day. It concludes with determining the day of the week for the last episode.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many episodes did Chris watch on Monday?

12

3

6

9

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common difference in the arithmetic sequence of episodes watched by Chris?

3

2

5

4

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to find the nth term in an arithmetic sequence?

a_n = a_1 + (n - 1) * d

a_n = a_1 * d

a_n = a_1 - (n - 1) * d

a_n = a_1 + n * d

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a_1 is 3 and d is 3, what is the value of a_4?

9

18

12

15

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of n when a_n is 30, a_1 is 3, and d is 3?

8

9

10

11

Tags

CCSS.7.EE.B.4A

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation 30 = 3 + (n - 1) * 3?

Add 3 to both sides

Divide both sides by 3

Subtract 3 from both sides

Multiply both sides by 3

Tags

CCSS.7.EE.B.4A

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After simplifying 30 - 3 = 3n - 3, what is the next step?

Add 3 to both sides

Subtract 3 from both sides

Multiply both sides by 3

Divide both sides by 3

Tags

CCSS.6.EE.B.7

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