Let m be the smallest positive integer such that the coefficient of x2 in the expansion of (1+x)2+(1+x)3+(1+x)4+……..+(1+x)49+(1+mx)50 is (3n+1).51C3 for some positive integer n. Then the value of n is

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Let m be the smallest positive integer such that the coefficie

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Let m be the smallest positive integer such that the coefficient of $x^{2}$ in the expansion of $(1 + x)^{2} + (1 + x)^{3} + (1 + x)^{4} + \dots\dots .. + (1 + x)^{49} + (1 + m x)^{50}$ is $(3 n + 1) .^{51} C_{3}$ for some positive integer n. Then the value of n is

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Let m be the smallest positive integer such that the coefficient of

x^{2}

in the expansion of

(1 + x)^{2} + (1 + x)^{3} + (1 + x)^{4} + \dots\dots .. + (1 + x)^{49} + (1 + m x)^{50}

(3 n + 1) .^{51} C_{3}

for some positive integer n. Then the value of n is

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Question Text	Let m be the smallest positive integer such that the coefficient of $x^{2}$ in the expansion of $(1 + x)^{2} + (1 + x)^{3} + (1 + x)^{4} + \dots\dots .. + (1 + x)^{49} + (1 + m x)^{50}$ is $(3 n + 1) .^{51} C_{3}$ for some positive integer n. Then the value of n is
Answer Type	Video solution: 1
Upvotes	150