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Write an equation for the nth term of the geometric sequence 0.6, 3, 15, -- 75, ...
Then find a6. Round to the nearest tenth if necessary.

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Answer:

Step-by-step explanation:

nth term = 0.6 × 5ⁿ⁻¹

a₆ = 0.6 × 5⁵ = 1875

abidemiokin

The sixth term of the sequence is [tex]3,125.6[/tex]

Geometric sequence

GIven the geometric seqence 0.6, 3, 15, 75, .

The nth term of the sequence is expreessed as [tex]T_n = ar^{n-1}[/tex]

  • a is the first term
  • n is the number of terms
  • r is the common ratio

Given the following

a = 0.6

r = 5

n = 6

Get the nth term

[tex]T_n= 0.6(5)^{n-1}[/tex]

For thr sixth term:

[tex]T_6= 0.6(5)^{6-1}\\T_6= 0.6(5)^5\\T_6= 3,125.6[/tex]

Hence the sixth term of the sequence is [tex]3,125.6[/tex]

Learn more on geometrc sequence here: https://brainly.com/question/1509142

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