Final answer:
A DHCP server sends a DHCP Offer packet after receiving a DHCP Discover message.
Step-by-step explanation:
The type of packet sent by a DHCP server after receiving a DHCP Discover message is the DHCP Offer. When a client sends a Discover message requesting IP configuration, the DHCP server responds with an Offer message containing an available IP address that can be used by the client. This Offer message includes other configuration parameters such as subnet mask, default gateway, and DNS server addresses.