If `a_1,a_2,a_3 and a_4` be any four consecutive coefficients in the expansion of `(1+x)^n`, prove

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`(a_1)/(a_1+a_2)+(a_3)/(a_3+a_4)=(2a_2)/(a_2+a_3)` `(a_1)/(a_1+a_2)+(a_3)/(a_3+a_4)=(2a_2)/(a_2+a_3)`
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If a_1,a_2,a_3,a_4 are the coefficients of any four consecutive terms in the expansion of (1+x)^n, If a_1,a_2,a_3,a_4 are the coefficients of any four consecutive terms in the expansion of (1+x)^n,
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