For problems 2 -5, tell whether the sequence is arithmetic or geometric. Explain your answer. Then, write a rule for the nth term recursively and explicitly 2) 1, 6, 1 1, 16, 21, . .. 3) -. 3, 27, 243, ... Type: Type: Why?: Why?: Recursive Rule: Recursive Rule: Explicit Rule: Explicit Rule: 4) -5, -1,3, 7. ... 5) 10000, 1000, 100, 10, . . . Type: Type: Why?: Why ?: Recursive Rule: Recursive Rule: Explicit Rule: Explicit Rule: 6) Write an explicit rule for the no term of the 7) Write an explicit rule for the nth term of the arithmetic sequence with a, = 29 & a,, = 101. arithmetic sequence with as = 25 & a; =-26. 8) Write an explicit rule for the nth term of the 9) Write an explicit rule for the nth term of the geometric sequence with a, = 2 & a, =-16. geometric sequence with a, = 729 & a. =9