Insurance companies have their own policies and guidelines when determining premium rates and assessing claims. Whether or not Geico will raise your rate after being rear-ended by a bike would depend on various factors, including the terms of your insurance policy, the details of the accident, and the specific circumstances surrounding the incident.
In general, if you were not at fault for the accident and the other party's insurance accepts liability, it may be less likely for your own insurance rates to be affected. However, insurance premiums can be influenced by several factors, such as the frequency of claims, your driving history, and the overall risk profile of the insured individual.
To get accurate information regarding your specific situation, it is advisable to directly contact Geico and discuss the incident with their representative. They will be able to provide you with the most relevant and personalized information based on your policy and the specific details of the accident.