Free Printable WorksheetMathAlgebra IIMath CurriculumALG2.189

ALG2.189 Comparing Sequence Growth Patterns Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.189 Comparing Sequence Growth Patterns. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.189 Comparing Sequence Growth Patterns - Practice questions for Comparing Sequence Growth Patterns.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra II

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG2.189 Comparing Sequence Growth Patterns skill assessments:

Problem 1Difficulty: Mastery

A teacher gives four “rules” for identifying growth from a list of terms. Which rule is correct?

AIf the terms get larger, the sequence is exponential.

BIf the ratios are not constant, the sequence must be linear.

CIf the differences are constant, the sequence is exponential.

DIf the differences are constant, the sequence is linear; if the ratios are constant (and division is defined), the sequence is exponential.

Solution & Explanation:Constant first differences indicate linear growth. Constant ratios (multiplying by a fixed factor) indicate exponential growth, provided dividing by previous terms makes sense.

Problem 2Difficulty: Mastery

Sequence L is linear with L1 = 500 and common difference 200. Sequence E is exponential with E1 = 500 and common ratio 1.15. What is the smallest n for which En > Ln?

Solution & Explanation:L(n)=500+200(n−1). E(n)=500·(1.15) to the (n−1). Checking shows E14≈3076.39 while L14=3100 (still smaller), but E15≈3537.85 while L15=3300, so the smallest n is 15.

Problem 3Difficulty: Mastery

Which pair is classified correctly?

A3, 6, 12, 24,... is linear; 5, 9, 13, 17,... is exponential.

B1, 4, 9, 16,... is exponential; 2, 6, 10, 14,... is neither.

C1, 4, 9, 16,... is neither linear nor exponential; 3, 6, 12, 24,... is exponential.

DBoth sequences are linear.

Solution & Explanation:1,4,9,16,... has changing differences (3,5,7,...) and changing ratios, so it is neither. 3,6,12,24,... has constant ratio 2, so it is exponential.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard ALG2.189 (Practice questions for Comparing Sequence Growth Patterns.).