Feel free to answer any of the following questions! 1) The recursive formula for a sequence is f(n) = f(n – 1) + 12, where f(n) is the nth term of the sequence and f(1) = 19. Write an explicit formula that can be used to determine the nth term of the sequence
2) The recursive formula to describe a sequence is a^1=3 and a^n=1+2a^n-1. State the first four terms of this sequence.
3) Can the sequence a^1=3 and a^n=1+2a^n-1 be represented using an explicit geometric formula? Justify your answer.
4) Consider the series described as: -10 + -6 + -2 + … + 78 + 82 Is this series arithmetic or geometric? Justify your answer.
5) Consider the series described as: -10 + -6 + -2 + … + 78 + 82 Find the sum of the twenty-four terms in the series.