The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term?

a+4d=9 a+31d=-84 -27d=93 d=(-31/9) a+4(-31/9)=9 a=205/9 23rd term=a+22d                =(205/9)+22(-31/9)                =-53

The answer will be 53