If the sum of the first m terms of an AP is n and the sum of first n terms is m. Then, show that the sum of its first (m+n) terms is -(m+n)

Question

If the sum of the first m terms of an AP is n and the sum of first n terms is m. Then, show that the sum of its first (m+n) terms is -(m+n)
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Solution 1

Sure, let's solve this step by step.

Given that the sum of the first m terms of an AP is n and the sum of the first n terms is m.

Let's denote the first term of the AP as 'a' and the common difference as 'd'.

  1. The sum of the first m terms of an AP (S_m) is given by the formula: S_m = m/2 * (2a Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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