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Verified Answer :

MissPhiladelphia

For a geometric progression, a(n) = a(1)r^(n-1) 
where a(n) is the nth term
r is the common ratio
n is the number of terms

First we need to obtain the common ratio by using a(2) and a(4). The number of terms (n) is 3.

Therefore 

48 = 768 (r)^2

thus, r = 0.25

solving for a(7)

a(7) = 768 * (0.25)^(5)
a(7) = 0.75
 


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