Question

How do you write the expression for the nth term of the geometric sequence `a_1=6, r=-1/3, n=12`?

Answer 1

`12` th term is `(-2/59049)`

Explanation:

`n` th term of geometric sequence is `a_n=a_1* r^(n-1)`

`a_1= 6 , r = -1/3 , n=12:. a_n = 6 (-1/3)^(12-1)` or

`a_n = 6 (-1/3)^11 = -6 / 177147= -2/59049`

`12` th term is `(-2/59049)` [Ans]