LaCuO2.5 is a system of coupled, two-chain, cuprate ladders which may be do
ped systematically by Sr substitution. Motivated by the recent synthesis of
single crystals, we investigate theoretically the possibility of supercond
uctivity in this compound. We use a model of wpin-fluctuation-mediated supe
rconductivity, where the pairing potential is strongly peaked at rr in the
ladder direction. We solve the coupled gap equations on the bonding and ant
ibonding ladder bands to find superconducting solutions across the range of
doping, and discuss their relevance to the real material. [S0031-9007(99)0
9220-0].