Free Printable WorksheetMathPre-CalculusMath CurriculumPre-CAL.154

Pre CAL.154 Determine Common Difference or Common Ratio from Data Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Pre-Calculus Math worksheet provides structured practice on Pre CAL.154 Determine Common Difference or Common Ratio from Data. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.154 Determine Common Difference or Common Ratio from Data - Determine Common Difference or Common Ratio from Data

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

Pre-Calculus

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 Pre CAL.154 Determine Common Difference or Common Ratio from Data skill assessments:

Problem 1Difficulty: Mastery

A geometric sequence has a_2 = 7.2 and a_5 = 0.9. What are a_6 and a_7?

A0.45, 0.225

B1.8, 3.6

C0.3, 0.15

D0.6, 0.3

Solution & Explanation:From term 2 to term 5 is 3 steps. Compute 0.9÷7.2=0.125, so r·r·r=0.125 and r=0.5. Then a_6=0.9·0.5=0.45 and a_7=0.45·0.5=0.225.

Problem 2Difficulty: Mastery

An arithmetic sequence has terms: 905, 872, 839, 806,... What are the next two terms?

A783, 760

B780, 755

C776, 743

D773, 740

Solution & Explanation:The common difference is −33 (872−905=−33, 839−872=−33). 806−33=773 and 773−33=740.

Problem 3Difficulty: Mastery

A geometric sequence has terms 320, 80, 20, 5,... What are the next two terms?

A2.5, 1.25

B4, 3.2

C1, 0.2

D1.25, 0.3125

Solution & Explanation:The common ratio is 0.25 because 80÷320=0.25 and 20÷80=0.25. Multiply 5 by 0.25 to get 1.25, then multiply 1.25 by 0.25 to get 0.3125.

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Frequently Asked Questions

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QIs this Pre CAL.154 Determine Common Difference or Common Ratio from Data worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Pre-Calculus Math students. It aligns with educational standard Pre-CAL.154 (Determine Common Difference or Common Ratio from Data).