Dear professor Jackson：
I am indeed very sorry that I missed the examination you gave on Moby-Dick last Wednesday. I feel badly about it and want you to know what happened.
On my way to class that day，I had a flat tire，and I had to go with the mechanic when he repaired it. It took me more than one hour to get it done. A copy of the bill is enclosed.
I sincerely hope you can accept my apologies and understand my situation. I would appreciate your allowing me to take a make up examination. I will #e to your office during your office hour on Monday to discuss this possibility with you. Once again，I''m sorry fro any inconvenience caused.
I’m very sorry that I can’t go on a trip to Beijing with you next weekend, which I have promised you. I’m writing to tell you the reason for it. Just now, my cousin, Li Ming, who went abroad for further education last year, informed me that he would return the next Saturday morning.
He asked me to pick him up at the airport with his parents. As you know, we haven’t seen each other for about a year, so I’ll have to help him in the first place. I really hope that you can accept my apologies and understand me.
I would appreciate it if you allow me to fix another time to show you around some places of interest in Beijing. Wish you have a good time this weekend! Yours,Li Ming
I would like to give you my apology for……
Please accept my sincere apology for……
I am indeed very sorry for what I said/did，but believe I had no intention to insult you.
Let''s not put a little misunderstanding between us.
Please forgive me for a stupid choice of words.
I feel badly sorry about it and want you to know what happened.
Please accept my apologies for my oversight.
Please allow me to say sorry again.
I sincerely hope you can accept my apologies and understand my situation.
Once again，I''m sorry for any inconvenience caused.