Delay discounting refers to the decrease in subjective value of a reward as the delay until its receipt increases. In the present study we assessed the effects of the sequence of delay blocks (increasing or decreasing) on the discounting and the data systematicity using a titrating procedure with human participants. All participants completed the delay discounting task in both increasing and decreasing sequence of presentation with delays ranging from one day to ten years. We found significantly steeper discounting when the blocks of delay were presented in increasing sequence compared with when the blocks were presented in decreasing sequence. We also found significantly steeper discounting when participants completed the increasing-sequence condition first. Our results agree with other findings reported in the literature and suggest that delay discounting may be affected by prior and subsequent experience.