Respuesta :
The geometric sequence that the 9th term is 325 and the common ratio is 5 has the 11th term as 8125
How to solve geometric series?
The formula for geometric series is as follows:
aₙ = arⁿ⁻¹
where
- a = first term
- n = number of terms
- r = common ratio
Therefore,
r = 5
a₉ = ar⁹⁻¹
a₉ = ar⁸
a₉ = a(5)⁸
325 = 390625a
a = 325 / 390625
a = 0.000832
Therefore, the 11 th term is as follows:
a₁₁ = 0.000832 × (5)¹⁰
a₁₁ = 0.000832 × 9765625
a₁₁ = 8125
The 11th term is 8125
learn more on geometric series here: https://brainly.com/question/17272480
