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In Mathematics / High School | 2014-01-31

Given the following geometric sequence: 6, 3, 1.5, 0.75, ...

Determine the nth term, [tex]T_n[/tex].

Asked by mathstudent

Answer (3)

6/2=3 3/2=1.5 1.5/2=.75 .75/2=.375 .375/2=.1875 .1876/2=.09375 .09375/2=.046875 .046875/2=.0234375

Answered by redbullwings3 | 2024-06-10

T₁ = 6
Tₙ = T₁ / 2 ⁿ⁻¹ ;

Answered by kenlingdad | 2024-06-12

The nth term of the geometric sequence 6, 3, 1.5, 0.75 is given by the formula T n ​ = 6 ⋅ ( 0.5 ) ( n − 1 ) . This formula uses the first term and the common ratio of the sequence. The first term is 6 and the common ratio is 0.5.
;

Answered by redbullwings3 | 2025-01-13

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