Dear Sandy,
I am writing to apologize for the misunderstanding that occurred when I invited you to the party held at my home. You promised that you would come, but I didn't make my address clear. I had thought that the first floor was the floor of a building at the ground level. But actually in British English it is the floor of a building just above the one at the ground level. As a result, I failed to meet you at my party. Please accept my sincere apology.
I feel very sorry for not having considered your culture. In China the first floor is always thought of as what you conside r to be the ground floor. I overlooked the difference between the two cultures. I fear you are displeased with what happened that day. I hope you will understand me and excuse me.
Honestly, I hope that you can attend my party next t ime. I shall be grateful if you will kindly tell me when it will be convenient for you. I' m looking f orward to seeing you soon.
Yours sincerely,
Li Hua