If the coefficients of r th , (r+1) th and (r+2) th terms in the binomial expansion of…

Mathematics · JEE Main · NTA ExamsBinomial Theorem And Its Simple Applications

If the coefficients of rth, \((r+1)\)th and \((r+2)\)th terms in the binomial expansion of \((1+y)^{m}\) are in AP., then \(m\) and \(\text { f }\) satisfy the equation
  1. \(m^{2}-m(4 r+1)+4 r^{2}=0\)
  2. \(m^{2}-m(4 r-1)+4 r^{2}-2=0\)
  3. \(m^{2}-m(r+1)+4 r^{2}=0\)
  4. \(m^{2}-m(4 r+1)+4 r^{2}-2=0\)

Answer

(D) m^ 2 -m(4 r+1)+4 r^ 2 -2=0

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