Decision making involves accumulating evidence for or against available options. Traditional circuit models of evidence accumulation generate firing rates that ramp with evidence. However, recent decision-making experiments in rodents have observed neurons across the brain that fire sequentially, rather than persistently, with the subset of neurons in this sequence depending on the animal's choice. We develop two new candidate circuit models that produce such choice-selective sequences and make competing predictions about the nature of evidence encoding. The first model consists of two chains of neurons, where the location along the chain represents the animal's position and the relative amplitude of firing in the two chains represents accumulated evidence. The second model consists of a plane of neurons, with the set of active neurons in this plane encoding evidence and position. The models make distinct experimental predictions for the shapes of neuronal tuning curves and responses to localized optogenetic stimulations. More generally, this work demonstrates how graded-value information may be precisely accumulated within and transferred between neural populations, a set of computations fundamental to many cognitive operations.