jholmes1247
jholmes1247 jholmes1247
  • 12-03-2021
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contestada

Write an
explicit formula for an, the nth term of the sequence 63, 21, 7,

Respuesta :

soringabi19 soringabi19
  • 12-03-2021

63/3=21

21/3=7

7/3=7

        -

        3

Answer Link
09pqr4sT
09pqr4sT 09pqr4sT
  • 12-03-2021

Answer:

[tex]\Large \boxed{\sf 7 \times 3 ^{3-n}}[/tex]

Explanation:

This is a geometric sequence

Use nth term of geometric sequence formula

[tex]a_1 \times r^{n-1}[/tex]

Ratio is 27/63=1/3

First term is 63

[tex]\displaystyle 63 \times (\frac{1}{3}) ^{n-1}[/tex]

Simplify expression

[tex]\displaystyle 7 \times 3 ^{3-n}[/tex]

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