In Past perfect^x, Articles^x, Invitations^x

I completely agree with you about the tense error; however, my book somehow shows me that there is no problem with this sentences. That may be a printing error. Thank you for replying

The only problem I see is a small one, possibly logical. When you say, "I've been invited to write for the newspaper," it's understood to mean on a regular basis. In the case of a one-time assignment, you might say, "I've been invited to write something / a piece / an...