When someone accepts your invite on LinkedIn, it means that they have agreed to connect with you on the platform. This allows you to view their profile, send them messages, and engage with their content.

Here are some possible ways to respond when someone accepts your invite on LinkedIn:

1. Send a thank-you message: This is a great way to start building a relationship with your new connection. You could thank them for accepting your invite and express your interest in their work or industry. For example:

"Thank you for accepting my invite, [Name]! I'm excited to connect with you on LinkedIn and learn more about your experience in [industry/field]."

2. Engage with their content: If your new connection has posted any articles or updates on LinkedIn, take the opportunity to engage with their content. You could like, comment, or share their posts to show that you're interested in their perspective. For example:

"I loved your recent post about [topic], [Name]! You made some really insightful points and I'm looking forward to learning more from you."

3. Offer to help: If you notice that your new connection is looking for advice or support in a particular area, you could offer to help if you have relevant expertise. For example:

"I saw that you're looking for recommendations on [topic], [Name]. I have some experience in that area and would be happy to chat with you about it if you're interested."

Overall, the key is to be friendly, professional, and genuine in your interactions with new LinkedIn connections. By building relationships and engaging with others on the platform, you can expand your network and potentially open up new opportunities for your career or business.