The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term?
Use the equation for a term of an arithemetic sequence: a+d(n-1), where a is the first term, r is the common difference, and n is the term you are trying to find the value of.
From the first sentence we form the equation:
Now we have a system of equations and solve to get a=205/9 and d=-31/9.
So the 23rd term is