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All 6 lessons in Arithmetic Progressions

  1. 1. What Is a Sequence?

    Define a sequence, distinguish between term position and value, and find a specific term by substituting into a general term formula.

  2. 2. Definition, Notation, and Common Difference

    Define an Arithmetic Progression (AP), calculate the common difference (d), and use standard AP notation.

  3. 3. The nth Term: Uₙ = a + (n−1)d

    Derive the nth term formula from first principles, find specific terms, and solve for missing variables including a and d.

  4. 4. Working Backwards and Counting Terms

    Find the number of terms (n) using the last term, determine if a value belongs to an AP using the integer test, and solve algebraic AP problems.

  5. 5. Sum of an AP: Sₙ = n/2 [2a + (n−1)d]

    Distinguish sequence from series, understand the Gauss pairing method, and apply the sum formula to find accumulated totals.

  6. 6. Practical Applications: Salaries, Savings, and Exam Problems

    Translate a real-life word problem into AP notation, decide between Uₙ and Sₙ formulas, and solve multi-step exam problems.

Unit code SSA5