TRUE. When the common ratio r = 1, every term in the sequence is the same (a constant sequence). Example: If a = 5 and r = 1, the sequence is 5, 5, 5, 5, 5, ... Each term is 1 times the previous term, so technically it's still geometric. However, this is a special case with unique properties: The nth term formula: \(T_n = a \times 1^{n-1} = a \times 1 = a\) (always equals a). The sum formula doesn't work as written because it involves division by (r-1) = 0. Instead, when r = 1: \(S_n = na\) (just n times the first term). While mathematically valid, r = 1 sequences are trivial and rarely appear in ECZ exams because they lack the interesting exponential behavior. More commonly, ECZ tests sequences with r > 1 (exponential growth) or 0 < r < 1 (exponential decay). Understanding this edge case shows conceptual depth, but focus your revision on sequences where r ≠ 1, as those dominate ECZ examinations.

Break down complex topics into smaller, manageable chunks for easier recall.

Zambia

• Joseph Soko – 101 pts

• Distance of A Straight Line
• Mid-point of A Line
• Equation of a Straight Line
• Parallel and Perpendicular Lines
• COMMUNICATION SYSTEMS