If the coefficients of r^(t)h, (r+1)^(t)h, and (r + 2)^(t)h terms in the binomial expansion of (1 + y) ^(m) are in A.P., then m and r satisfy the equation

(C) m² - m(4r + 1) + 4 r² - 2 = 0

(A) m² - m(4r - 1) + 4 r² - 2 = 0

(B) m² - m(4r + 1) + 4 r² + 2 = 0

(D) m² - m(4r - 1) + 4 r² + 2 = 0

Binomial Theorem and Its Simple Applications: JEE Main 2005 Mathematics question

JEE Main 2005 · Annual, Paper 1 · Q2907

JEE Main 2005Annual, Paper 1MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

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

{{\rm{(1 + y )}}^m}

are in A.P., then m and r satisfy the equation

JEE Main 2005 · Annual, Paper 1 · Q2907

JEE Main 2005Annual, Paper 1MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

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

{{\rm{(1 + y )}}^m}

are in A.P., then m and r satisfy the equation