What is the explicit rule for this geometric sequence?
1 answer:
Answer:
Tn = 2/3^(n-1)
Step-by-step explanation:
The nth term of a geometric progression is expressed as
Tn = ar^{n-1}
a is the first term
n is the number of terms
r is t common ratio
From the sequence
a = 2/9
r = (2/3)/(2/9) = 2/(2/3) =3
Substitute
Tn = 2/9(3)^(n-1)
Tn = 2/3^(n-1)
Hence the required equation is Tn = 2/3^(n-1)
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