Respuesta :
Answer :
Explicit rule is
[tex]a_n=49(3)^{n-1}[/tex]
Step-by-step explanation:
A recursive rule for a geometric sequence is a1=49;an=3an−1
First term a1= 49
[tex]a_2= 3 * a_1= 3*49= 147[/tex]
[tex]a_2= 3 * a_2= 3*147= 441[/tex]
To get second term, multiply the first term by 3
So common ratio = 3
Explicit rule for geometric sequence is
[tex]a_n=a_1(r)^{n-1}[/tex]
Where a1 is the first term
r is the common ratio
a1= 49 and r= 3
[tex]a_n=49(3)^{n-1}[/tex]
Answer:
an= 4/9(3^n-1)
Step-by-step explanation:
Just took the test and passed with this answer. For future students looking. I am 100% correct on this. :)
