The first and last term of an A.P. are a and l respectively. If s be the sum of all terms…

Mathematics · JEE Advanced · NTA ExamsProgression and Series

The first and last term of an A.P. are a and l respectively. If s be the sum of all terms of the A.P., then common difference is
  1. \(\frac{\ell^{2}-a^{2}}{2 s-(\ell+a)}\)
  2. \(\frac{\ell^{2}-a^{2}}{2 s-(\ell-a)}\)
  3. \(\frac{\ell^{2}+\mathrm{a}^{2}}{2 \mathrm{~s}+(\ell+\mathrm{a})}\)
  4. \(\frac{\ell^{2}+a^{2}}{2 s-(\ell+a)}\)

Answer

(A) ^ 2 -a^ 2 2 s-( +a)

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