[′räb·əz kən′vər·jəns ‚test] (mathematics) An infinite series with positive terms anwhere, for each n, an +1/ an= 1/(1 + bn) will converge if, after a certain term, nbnalways exceeds a fixed number greater than 1 and will diverge if nbnalways is less than a fixed number less than or equal to 1.