Final answer:
The recommended algorithm for managing pediatric tachycardia with a pulse and poor perfusion is to start with high-flow oxygen therapy, and consider synchronized cardioversion if the condition does not improve.
Step-by-step explanation:
For managing pediatric tachycardia with a pulse and poor perfusion, the recommended algorithm is to first initiate high-flow oxygen therapy.
This is because it can improve oxygenation and potentially stabilize the child's condition. If the child's condition does not improve, synchronized cardioversion may be considered. CPR is generally reserved for when a patient does not have a pulse or when they are in cardiac arrest, which is not the case in the scenario you've described regarding tachycardia with a pulse. Both CPR and the use of medications like epinephrine have specific indications based on the child's condition and should be administered according to established protocols.