Respuesta :
Answer:
[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_n=3*a_{n-1}[/tex]
[tex]a_2=3*a_{1}[/tex]
[tex]a_2=3*49}[/tex]
To get second term, multiply the first term by 3
So common ratio r = 3
Explicit rule for geometric sequence is
[tex]a_n = a_1(r)^{n-1}[/tex]
a1= 49 and r= 3
So explicit rule is
[tex]a_n = 49(3)^{n-1}[/tex]
