Consider a geometric progression whose first term is 2 and common ratio is 3.
(i) Write the general expression for its nth term.
(ii) Using this expression, determine the value of n for which the term of the progression is 486.
(iii) Verify your answer by listing the first six terms of the progression.
a. Write the general expression for the nth term of the progression.
b. Determine the value of n when the term equals 486.
c. List the first six terms of the progression to confirm your result.