Answer:
an = 2/5 * (5) ^ (n-1)
Step-by-step explanation:
The common ratio is 5
(That is the number we multiply by)
The formula is
an = a1 (r) ^ (n-1)
an = 2/5 * (5) ^ (n-1)
Answer:
[tex]a_n= \frac{2}{5} (5)^{n-1}[/tex]
Step-by-step explanation:
The recursive rule for a geometric sequence is given.
a1= 2/5; an= [tex]5a^{n-1}[/tex]
a1 is the first term = 2/5
USe the recirsive rule. compare an= [tex]ra^{n-1}[/tex], where 'r' is the common ratio with the given recursive formula
r= 5, common ratio is 5
General explicit rule
[tex]a_n= a_1(r)^{n-1}[/tex]
a1=2/5 and r= 5
So explicit rule becomes
[tex]a_n= \frac{2}{5} (5)^{n-1}[/tex]
