SOLUTION: Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 1/3, − 2/9, 4/27, − 8/81, . . .

Algebra ->  Trigonometry-basics -> SOLUTION: Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 1/3, − 2/9, 4/27, − 8/81, . . .      Log On


   

Question 1178168: Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.)

1/3, − 2/9, 4/27, − 8/81, . . .
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
a%5B1%5D+ = +%28-2%29%5E0%2F3%5E1

a%5B2%5D+ = +%28-2%29%5E1%2F3%5E2

a%5B3%5D+ = +%28-2%29%5E2%2F3%5E3

a%5B4%5D+ = +%28-2%29%5E3%2F3%5E4

---
a%5Bn%5D = +%28-2%29%5E%28n-1%29%2F3%5En+, n=1,2,3,...