Each next term is the previous term multiplied with 5/3 so the next term in the sequence is 9*5/3=15
The next term of the geometric sequence 81/25, 27/5, 9, is 15.
The next term is the 4th term. Therefore, using geometric progression formula the 4th term can be found.
where
r = common ratio
n = number of term
Therefore,
r = 27/5 ÷ 81/25 = 27/5 × 25/81 = 5 / 3
a = 81/25
a₄ = 81/25 × 5/3⁴⁻¹
a₄ = 81/25 × 5/3³
a₄ = 81/25 × 125/27
a₄ = 15
The next term is 15.
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