The first, second and middle term of an AP are a, b, c respectively. Sum of all terms is

Mathematics · JEE Main · NTA ExamsProgression and Series

The first, second and middle term of an AP are a, b, c respectively. Sum of all terms is
  1. \(\frac{2(\mathrm{c}-\mathrm{a})}{\mathrm{b}-\mathrm{a}}\)
  2. \(\frac{2 \mathrm{c}(\mathrm{c}-\mathrm{a})}{\mathrm{b}-\mathrm{a}}+\mathrm{c}\)
  3. \(\frac{2 b(c-a)}{b-a}\)

Answer

(B) 2 c ( c - a ) b - a + c

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