Consider the arithmetic progression 4, 9, 14, 19, … . Answer the following:
a. (i) Write the general expression for the nth term of the progression.
b. (ii) Determine whether 194 is a term of the progression. If yes, state its position; if no, give a reason.
c. (iii) Justify, with algebraic reasoning, why your conclusion in part (ii) is correct.