Geometric series is a series in which ratio between the two terms is same.
The general geometric series is a,ar, ar^2, ar^3, .....
In first case 2500, 500, 100, ...
The common ratio is of 1/5, that is,
2500×1/5 = 500, 2500×(1/5)^2= 100, 2500×(1/5)^3=20, 2500×(1/5) ^4=4, 2500×(1/5)^5=0.8
Hence the next three terms will be 20,4,0.8,....
In second case 2,6,18,...
The common ratio is 3, that is,
2×3=6, 2×(3)^2=18, 2×(3)^3=54, 2×(3)^4=162, 2×(3)^5=486
Hence the next three terms will be 54, 162, 486,....
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