Exploring Arithmetic Sequences

Exploring Arithmetic Sequences

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.BF.A.2

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.HSF.BF.A.2

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What defines an arithmetic sequence?

A sequence where each term increases by a random value

A sequence where each term is multiplied by a constant

A sequence where each term increases or decreases by a fixed number

A sequence where each term is the square of the previous term

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

The index of the term being calculated

The last term of the sequence

The difference between consecutive terms

The first term of the sequence

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the seventh term of an arithmetic sequence given the first term and the common difference?

Divide the first term by the common difference

Add the first term to six times the common difference

Multiply the first term by seven

Subtract the common difference from the first term seven times

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first term of an arithmetic sequence if the seventh term is 20 and the common difference is 3?

11

8

5

2

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In an arithmetic sequence, if the common difference is 3, what is the difference between the 10th and 7th terms?

3

6

9

12

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common difference in an arithmetic sequence where the first term is 2 and the seventh term is 20?

3

2

5

4

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the explicit formula for an arithmetic sequence where the common difference is negative?

a_n = a1 + d(n - 1)

a_n = a1 - d(n + 1)

a_n = a1 - d(n - 1)

a_n = a1 / d(n - 1)

Tags

CCSS.HSF.BF.A.2

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