Nova Scotia
7. Model real-world problems using functions, equations, inequalities and discrete structures
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Overview
Arithmetic sequences
What You'll Learn
Identify the common difference by subtracting consecutive terms
Apply the arithmetic sequence formula Tn = T1 + (n-1)d to find any term
Calculate the term number when given a specific value in the sequence
Solve for the first term and common difference using systems of equations
Determine the general formula for the nth term from partial information
What You'll Practice
1
Finding common differences and specific terms using the sequence formula
2
Solving for unknown term positions given term values
3
Using systems of equations to find T1 and d from two known terms
4
Working with algebraic expressions in consecutive arithmetic terms
Why This Matters
Arithmetic sequences appear everywhere in real life, from calculating loan payments to predicting patterns in data. This foundational skill prepares you for advanced algebra, calculus, and practical applications in finance, computer science, and engineering.
Before You Start — Make Sure You Can:
This Unit Includes
6 Video lessons
Practice exercises
Skills
Arithmetic Sequences
Common Difference
Sequence Formula
Systems of Equations
Pattern Recognition
Algebra
NS Curriculum Aligned