Final answer:
Larry's discovery of half-open connections suggests a SYN flood attack, which is a type of Denial of Service attack causing slow connectivity due to the overwhelming number of incomplete TCP handshakes flooding the network.
Step-by-step explanation:
Larry, the network administrator, has discovered a large number of half-open connections on his company's firewall log. This typically indicates a SYN flood attack, which is a type of Denial of Service (DoS) attack. In a SYN flood, the attacker sends a volume of SYN requests to a target's system in an attempt to overwhelm it and make legitimate traffic slow or even unavailable. Each of these half-open connections represents an incomplete TCP handshake, where the server has sent back an acknowledgement (SYN-ACK) but has not received the final acknowledgement from the client (ACK). This high volume of half-open connections can use up the connection tables in networking equipment, leading to slow connectivity as legitimate users struggle to establish new connections.