Point 1 of 8 — Lesson 1 – Arithmetic and Geometric Sequences and SeriesQuestion bank: 28 questions (28 with pictures)
02Laws and key relationships
General Term of an Arithmetic Progression: [ Formula: Tn = a + (n - 1)d ] Where a is the first term, d is the common difference, and n is the term rank (n ∈ ℤ⁺).
Sum of First n Terms of an Arithmetic Progression: [ Formula: Sn = (n / 2)[2a + (n - 1)d] = (n / 2)[a + l] ] Where l is the last term (l = Tn). Represents the area under the linear sequence staircase.
General Term and Infinite Sum of a Geometric Progression: [ Formula: Tn = a · rn - 1 ; S_∞ = a / (1 - r) (valid if and only if |r| < 1) ] If the common ratio satisfies -1 < r < 1, the infinite geometric series converges to a finite limiting value S_∞.
📝 Question bank for this point
28 questions linked to this point only, 28 of them with pictures.
