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Question: Answered & Verified by Expert
If the sum of $\mathrm{m}$ terms of an AP is $\mathrm{n}$ and the sum of $\mathrm{n}$ terms is $\mathrm{m}$, then the sum of $(\mathrm{m}+\mathrm{n})$ terms is
MathematicsSequences and SeriesNDANDA 2017 (Phase 1)
Options:
  • A $m n$
  • B $m+n$
  • C $2(m+n)$
  • D $-(m+n)$
Solution:
1553 Upvotes Verified Answer
The correct answer is: $-(m+n)$
Given, $\mathrm{S}_{\mathrm{m}}=\mathrm{n}$ and $\mathrm{S}_{\mathrm{n}}=\mathrm{m}$
This is direct formula $\mathrm{S}_{\mathrm{m}+\mathrm{n}}=-(\mathrm{m}+\mathrm{n})$

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