Exploring Arithmetic Sequences and Their Properties

Exploring Arithmetic Sequences and Their Properties

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Medium

CCSS
HSF.BF.A.2, HSF.IF.A.3

Standards-aligned

Created by

Olivia Brooks

Used 7+ times

FREE Resource

Standards-aligned

CCSS.HSF.BF.A.2
,
CCSS.HSF.IF.A.3
The video introduces arithmetic sequences, which are sequences where each term is a fixed number larger than the previous one. It explains how to identify these sequences and defines them using explicit and recursive methods. Examples are provided to illustrate these concepts. The video also covers the general form of arithmetic sequences and concludes with an example of a sequence that is not arithmetic, highlighting the differences.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an arithmetic sequence?

A sequence where each term increases by a different amount

A sequence where each term is multiplied by a fixed number

A sequence where each term is a fixed amount larger than the previous term

A sequence where each term is a fixed amount smaller than the previous term

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of an arithmetic sequence?

2, 4, 8, 16, 32

100, 90, 80, 70, 60

1, 3, 6, 10, 15

-5, -3, -1, 1, 3

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of sequences, what does the term 'index' refer to?

The common difference in an arithmetic sequence

The position of a term within the sequence

The maximum value of a term in the sequence

The sum of all terms in the sequence

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you define an arithmetic sequence explicitly?

a_n = k + d(n-1)

a_n = k * d^n

a_n = k/d^n

a_n = k - d(n-1)

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the recursive definition of an arithmetic sequence?

a_n = a_(n-1) * d

a_n = a_(n-1) / d

a_n = a_(n-1) + d

a_n = a_(n-1) - d

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the first term of an arithmetic sequence is 100 and the common difference is 7, what is the third term?

114

128

121

107

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the 'd' represent in the general formula of an arithmetic sequence?

The first term of the sequence

The common ratio between terms

The common difference between terms

The total number of terms in the sequence

Tags

CCSS.HSF.BF.A.2

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