Answer: 7th term is 2187/2048
Explanation:
The common ratio is 3/4
r is the common ratio
a(sub n) = r * a(sub n-1)
9/2 = r * 6
r = (9/2)* (1/6) = 3/4
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27/8 = r * (9/2)
r = (27/8) / (9/2) = (27/8) * (2/9) = 3/4
a(sub n) = r^(n-1)* a(sub 0), let a(sub 0) = a(sub 1)
a(sub 7) = (3/4)^(7 - 1) * (6)
a(sub 7) = [(3/4)^6 ] * 6
a(sub 7) = (729/ 4096) * 6
a(sub 7) = 2187/2048
7th term is 2187/2048