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Inductive Reasoning: Sequences and Series

Inductive Reasoning: Sequences and Series

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSF.BF.A.2, 5.OA.B.3

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.HSF.BF.A.2
,
CCSS.5.OA.B.3
The video tutorial explains how to find the nth term in a sequence where each term increases by 3, starting from 6. The instructor identifies the pattern and derives a general expression for the nth term as 3(n + 1) or 3n + 3. The expression is verified for different terms to ensure its accuracy.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first term in the given sequence?

12

3

6

9

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second term in the sequence?

12

6

15

9

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common difference between consecutive terms in the sequence?

4

5

3

2

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the third term in the sequence?

18

15

12

9

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express the first term as a multiple of 3?

3 x 3

3 x 4

3 x 2

3 x 1

Tags

CCSS.5.OA.B.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general expression for the nth term in the sequence?

3n

3(n+1)

3(n-1)

3n+3

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the 4th term in the sequence?

21

18

15

12

Tags

CCSS.HSF.BF.A.2

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