jlscvc35
jlscvc35 jlscvc35
  • 13-05-2021
  • Mathematics
contestada

Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9​

Find a formula for the nth term of the geometric sequence Assume the n begins with 1 a118 a29 class=

Respuesta :

eudora eudora
  • 18-05-2021

Answer:

Option E

Step-by-step explanation:

Explicit formula of a geometric sequence is,

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

Here, [tex]a_1=[/tex] First term

[tex]r=[/tex] common ratio

[tex]n=[/tex] number of terms

If, [tex]a_1=18[/tex] and [tex]a_2=9[/tex]

Common ratio of the sequence [tex]r=\frac{a_2}{a_1}[/tex]

[tex]r=\frac{9}{18}[/tex]

[tex]r=\frac{1}{2}[/tex]

By substituting these values in the formula,

[tex]T_n=18(\frac{1}{2} )^{n-1}[/tex]

Therefore, Option E is the answer.

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