Question

Determine the value of t9 in a geometric sequence if t1 = 5 and r = -3

Answer 1

t₉ = 32805

Explanation:

The nth term of a geometric sequence is

`t_(n)` = t₁
`(r)^(n-1)`

Here t₁ = 5 and r = - 3 , then

t₉ = 5
`(-3)^(8)` = 5 × 6561 = 32805