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

Sum of AP

Complete study guide with 12 practice questions, detailed explanations, and expert solutions for Sum of AP in CA Foundation Business Mathematics, Logical Reasoning and Statistics.

Practice Questions

12
Total Questions
7
Easy
1
Medium
4
Hard
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Video Solutions

Study Notes: Sum of AP

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

Sum of AP: Sₙ = n/2 × (2a + (n-1)d) or Sₙ = n/2 × (first + last) = n/2 × (a + aₙ). Formula 2 more practical when last term known. Example: Sum of 1+2+3+...+100 = 100/2 × (1+100) = 5050. Or using formula 1: a=1, d=1, n=100. Sₙ = 100/2 × (2 + 99) = 5050. Solving: (1) Identify a, d, n; (2) Choose appropriate formula; (3) Calculate. For finding n given Sₙ: Rearrange quadratic equation. Shortcut: Use formula 2 when last term obvious. Exam tip: Double-check if sum is from first term or middle term. Verify using simple cases (n=2 or n=3).

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