I am guessing your term insurance works the same in the USA as it does here in Canada, so its worth mentioning that the "reasonable" amount you pay now might be unaffordable when your policy renews at the end of your current term (10 years, 20 years, or whatever you chose at the time of application).
Your best bet is usually to have a small amount of whole life with a more substantial term rider. It keeps the premiums affordable but has a good base that can carry on well beyond the original term. Then, when the kids are grown and the mortgage is paid off (and you are older and that term rider has grown much more expensive), dump the term portion and keep the whole life to cover your funeral expenses. Many whole life policies will also build cash value which can be used to pay the premiums at some point in the future, essentially allowing the policy to "pay for itself".