Answer:
The sixth term of the sequence = -234
Explanation:
The formula of a geometric sequence is:
aₙ = a₁ + r⁽ⁿ⁻¹⁾
Where;
aₙ = the term value
n = the term that has to be found out
a₁ = first term in the sequence
r = common ration
Here in this situation:
aₙ = unknown
n = 6
a₁ = 9
r = -3
Therefore the solution would be:
a₆ = 9 + (-3)⁶⁻¹
a₆ = 9 + (-3)⁵
a₆ = 9 + (-243)
a₆ = -234
Therefore the sixth term of the sequence would be: -234
Hope this helps!