Term insurance life policies may have an option to renew your insurance contract (usually the same amount of the initial length of your contract.) For example, if you purchase a 10-year term life policy, at the end of your 10th. year, you have an option to renew your insurance policy without a medical examination or other evidence of insurability. You should keep in mind that your age also has a big impact on the renewability, where an insurance company may not be renewing your policy after a certain age. And further more, because of your age, your premiums will also be higher at the time when you are renewing your term policy for a new period.
When a term policy contains no renewal privilege, or if it contains evidence of insurability, you may or may not be able to continue your coverage as long as you need it.