The arithmetic progression has first term 2 and common difference 3.
a. (i) Form the equation satisfied by n if the nth term of the progression equals n2−2n+5.
b. (ii) Solve the equation obtained in part (i) to find all positive integral values of n that satisfy it.
c. (iii) Write down the term (or terms) of the progression corresponding to the value(s) of n found in part (ii).
d. (iv) Compute the sum of all terms of the progression up to and including the largest of these terms.