The 75th term of the sequence is -1.5881 * 10^5.
Geometric sequence
The geometric sequence is a sequence that has common ratio. The explicit formula of a GP is expressed as:
Tn = ar^n-1
where
a is the first term
n is the number of terms
r is the common ratio
Given the following sequence
-3, -15, -75, -375....
First term = -3
n = 75 (75th term)
r = -15/-3 = 5
Substitute
T75 = -3(5)^75-1
T75 = -3(5)^74
T75 = -1.5881*10^52
Hence the 75th term of the sequence is -1.5881 * 10^52
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