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Answer:
6
Step-by-step explanation:
an = ar^(n-1)
a = first term
n = nth term
r = common ratio
r = r2 / r1 = r3 / r2
The first 3 terms are :
486, 162, and 54
Hence,
a = 486
r = 162 / 486 = 1/3
Hence ;
a5 = 486(1/3)^5 - 1
a5 = 486(1/3)^4
a5 = 486(1 / 81)
a5 = 486 * 1 / 81
a5 = 486 / 81
a5 = 6
The 5th term of the geometric progression will be ; 6