Respuesta :

Answer:

1464.84375

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = 15 ÷ 6 = 2.5, thus

[tex]a_{7}[/tex] = 6 × [tex](2.5)^{6}[/tex] = 6 × 244.140625 = 1464.84375

shubhamchouhanvrVT

The seventh term of the geometric progression will be 1464.84375

What is a geometric progression?

When there is a constant between the two successive numbers in the series then it is called a geometric series.

The nth term of a geometric sequence is

[tex]a_n =a_1(r)^{n-1}[/tex]

where a₁ is the first term and r is the common ratio

Here a₁ = 6 and r = 15 ÷ 6 = 2.5, thus

[tex]a_7=6\times (2.5)^{6}[/tex]  = 6 × 244.140625 = 1464.84375

Therefore the seventh term of the geometric progression will be 1464.84375

To know more about geometric progression follow

https://brainly.com/question/12006112

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