Business Mathematics, Logical Reasoning and Statistics
Sets, Relations and Functions
5% weightage

GP Basics

Complete study guide with 13 practice questions, detailed explanations, and expert solutions for GP Basics in CA Foundation Business Mathematics, Logical Reasoning and Statistics.

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Study Notes: GP Basics

Free study material for CA Foundation Business Mathematics, Logical Reasoning and StatisticsSets, Relations and Functions

Geometric Progression (GP) has constant ratio r between consecutive terms. General term: aₙ = a × r^(n-1), where a = first term, r = common ratio. Example: 2, 6, 18, 54, ... has a=2, r=3. So a₅ = 2 × 3⁴ = 162. Identifying GP: Check if ratios are constant. Finding r: r = a₂/a₁. Finding nth term: aₙ = a × r^(n-1). Types: (1) r > 1: increasing GP; (2) 0 < r < 1: decreasing GP; (3) r < 0: alternating signs. Solving MCQs: (1) Find r from ratio; (2) Use formula; (3) Verify. Shortcut: Recognize common GPs (powers of 2, 3, etc.). Exam tip: Distinguish GP from AP. Handle negative r carefully (alternating terms).

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