Answer: Spider plants seem to be quite sensitive to chemicals in tap water and browning tips are one symptom of their distress. You can try setting the water container on the counter overnight before using it to water your plant, or you can use distilled water to water your spider plant. Another reason for browning tips is overly dry air (from heater or air conditioner). To combat this, try misting your plant once a day.
You can carefully cut off the brown tips. The leaf won't grow a new tip, but at least the brown will be gone and your plant will look more attractive.
Best wishes with your spider plant!
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