Answer:
Equation is 42t
So,
t=12
According to equation
Put value of t
=42(12)
=504
So 2nd option is correct.
Answer:
2/6561
Step-by-step explanation:
Geometric sequence formula : 
where an = nth term, a1 = first term , r = common ratio and n = term position
given ratio : 1/3 , first term : 2 , given this we want to find the 9th term
to do so we simply plug in what we are given into the formula
recall formula : 
define variables : a1 = 2 , r = 1/3 , n = 9
plug in values
a9 = 2(1/3)^(9-1)
subtract exponents
a9 = 2(1/3)^8
evaluate exponent
a9 = 2 (1/6561)
multiply 2 and 1/6561
a9 = 2/6561
Isolate k by dividing both sides by 8
8k=4/9
k=4/72
Reduce if possible
4/72 -> 1/18
2/3 would be the value of this expression:)