Exam Maths Puzzle Algebra

What is the 6th term of the geometric sequence in which a1=5 and r=3? Please help and explain the step(s) on how to do it. Also, how do you find the nth term a1=3, d=2 and n=7? thank you

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Exam Other Question

A movie theatre sells tickets for $8.50 each. The manager is considering raising the prices but knows that for every 50 cents the price is raised, 20 fewer people go to the movies. Solve
1 - 27x^3