NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The coefficient of x 50 in 1 + x 41 1 - x + x 2 40 is

Correct answer

Step-by-step solution

Coefficient of x 50 in 1 + x 1 + x 40 1 - x + x 2 40 = 1 + x 1 + x 1 - x + x 2 40 = 1 + x 1 - x 3 40 = 1 + x 1 - 40 C 1 x 3 + 40 C 2 x 6 + . . . . + 40 C 16 x 48 - 40 C 17 x 51 + . . . . + 40 C 40 x 120 Coefficient of x 50 = 0 As there is no term containing x 50 and x 49 in the second bracket

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