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Recently, magnetic topological insulators MnBi_2nTe_3n+1 were discovered, where quantized anomalous hall resistance was observed in the two-dimensional limit of MnBi₂Te₄ at a record high temperature of 4 K under 12 T, providing an important material platform to explore emergent quantum phenomena such as quantized anomalous Hall effect and Majorana modes, etc. MnBi_2nTe_3n+1 family is made of alternating one septuple [MnBi₂Te₄] and (n-1) quintuple [Bi₂Te₃] layers, where the interlayer magnetic couplings are tuned systematically with increasing n. In this talk, we will show our recent results on the magentotransport properties in MnBi_2nTe_3n+1, shedding light on the interplay between magnetism and band topology.