the next term 有in么?

看情况吧：
The next term作主语或宾语就不要介词,否则,要in
The next term is my last term of my university study.
Next month is the next term.
the last day of the last month一般不要介词,如果有的话,也只能是on
the morning的情况更复杂了：in the morning泛指平常的早晨或上午；on the morning指特定的某一天的早上或上午（如：on the morning of July 14）