Find the formula for the nth term for the following sequence.

3, 9, 27, 81..

1. A(n) =3(3^n-1)
2. A(n) =3^n-1
3. A(n) =3(3^n)

Respuesta :

Step-by-step explanation:

everything can be found in the picture

Ver imagen nchangcomfort48

Answer:

It is 1. A(n) =3(3^n-1)

Step-by-step explanation:

It is a geometric progression

General recursive formular:

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

a » first term, a = 3

r » common difference, r = 9 ÷ 3 = 3

n » number of terms

[tex]A(n) = 3( {3}^{n-1} )[/tex]

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further more:

[tex]A(n) = {3}^{(n)} [/tex]