Question

What is the 5th term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916

Answer 1

the fifth term of the geometric sequence would be 0.972

Answer 2

A geometric sequence is given by terms a₁ = 120, a₂ = 36, a₃ = 10.8, a₆ = 0.2916.

The First term is given, a = 120.

Common ratio (r) would be ratio of second term to first term i.e.

`r=(a_(2))/(a_(1)) = (36)/(120) = 0.3`

The formula for n-th term of geometric sequence is given by as follows :-

`a_(n) =a*r^(n-1)`

It says to find 5th term of this given geometric sequence. For 5th term, n = 5.

`image`

Hence, a₅ = 0.972 would be 5th term of the given geometric sequence.