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Arithmetic Sequence

Authored by Ronda Tatum

Mathematics

9th Grade

CCSS covered

Used 8K+ times

Arithmetic Sequence
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This quiz focuses on arithmetic sequences, a foundational topic in Algebra 1 that is typically taught at the 9th grade level. The questions systematically assess students' understanding of the defining characteristics of arithmetic sequences, where each term differs from the previous term by a constant value called the common difference. Students must demonstrate their ability to identify whether a given sequence is arithmetic by recognizing the constant difference pattern, calculate common differences for various sequences including those with positive and negative values, and extend sequences by finding the next terms. The quiz progresses to more advanced concepts requiring students to write both recursive formulas (expressing each term in relation to the previous term) and explicit formulas (expressing the nth term directly), then apply these formulas to find specific terms at given positions in the sequence. Success on this assessment requires strong computational skills with integers, pattern recognition abilities, algebraic manipulation to create and simplify formulas, and conceptual understanding of how arithmetic sequences behave. Created by Ronda Tatum, a Mathematics teacher in US who teaches grade 9. This quiz serves as an excellent tool for both formative and summative assessment of students' mastery of arithmetic sequences. Teachers can use this as a warm-up activity to gauge prior knowledge before introducing new sequence concepts, as guided practice during instruction to reinforce learning, or as homework to solidify understanding outside the classroom. The progression from identification questions to formula creation and application makes it ideal for review sessions before unit tests or as a diagnostic tool to identify areas where students need additional support. The quiz effectively supports classroom instruction by providing immediate feedback on student understanding and can be used for differentiated instruction based on individual student performance. This assessment aligns with Common Core State Standards A-SSE.A.1 (interpreting expressions) and F-BF.A.2 (writing arithmetic sequences both recursively and with explicit formulas), ensuring students develop the algebraic reasoning skills essential for advanced mathematics courses.

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the sequence arithmetic: 37, 31, 25, 19, ...

Yes
No

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the sequence arithmetic: -3, 3, -3, 3, ...

Yes
No

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

Yes
No

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the sequence arithmetic: 17, 9, 1, -7, ...

Yes
No

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the common difference: -34, -29, -24, -19, ...

d = -5
d = 5
d = -6
d = 6

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the common difference.
97, 86, 75, 64, ...

8
11
-11
-8

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the common difference: 29, 21, 13, 5, ...

d = -10
d = -9
d = -8
d = -7

Tags

CCSS.HSF.BF.A.2

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