Answer:
3051.758
Step-by-step explanation:
You want the 9th term of the geometric sequence that begins 2, 5, 25/2, ....
Ratio
The common ratio for the terms of the sequence is ...
r = 2nd term/1st term = 5/2
Formula
The explicit formula for the n-th term is ...
an = a1(r^(n-1))
For a1 = 2 and r = 5/2, the n-th term is ...
an = 2(5/2)^(n-1)
And the 9th term is ...
a9 = 2(5/2)^(9-1) = (5^8)/2^7) = 390625/128 = 3051.7578125
The 9th term is about 3051.758.
