The expansion of is arranged in decreasing powers of . If coefficient of first three terms form an arithmetic progression , then one of the integral powers of in its expansion is can be equal to .
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first notice that the coeff. of x will be highest if the power of second term 2 4 x 1 will be least so first 3 terms. coeff will be = nC0, 1/2 (nC1) , 1/4 (nC4), solve and get n=8