本文研究由正项等差数列若干项与组合数构成的一类新的不等式,为了简便起见,以下约定{a_n}为正项等差数列,n为正整数.定理1 a_1/c_n~0+a_2/c_n~1+a_3/c_n~2+…+(a_(n+1))/(c_(n)~n)≥((n+1)~2(a_1+a_(n+1)))/(2~(n+1)). In this paper, we study a new class of inequalities consisting of several items with positive arithmetic progression and combination number. For the sake of simplicity, the following conventions {a_n} are positive arithmetic sequences and n is a positive integer. Theorem 1 a_1 / c_n ~ 0 + a_2 + c_n ~ 1 + a_3 / c_n ~ 2 + ... + a_n + 1 / c_n ~ n ≥ n + 1 ~ 2 ⁢ a_1 + a_n + 1 ) / (2 ~ (n + 1)).