It looks like you're describing a geometric sequence with the first term \( a_1 = 3 \) and a common ratio \( r = 0.2 \).
In a geometric sequence, each term is found by multiplying the previous term by the common ratio. The general formula for the \( n \)-th term of a geometric sequence is given by:
\[ a_n = a_1 \cdot r^{n-1} \]
Using this formula, we can calculate the first few terms of the sequence:
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First term (\( n=1 \)): \[ a_1 = 3 \]
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Second term (\( n=2 \)): \[ a_2 = 3 \cdot 0.2^{2-1} = 3 \cdot 0.2 = 0.6 \]
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Third term (\( n=3 \)): \[ a_3 = 3 \cdot 0.2^{3-1} = 3 \cdot 0.2^2 = 3 \cdot 0.04 = 0.12 \]
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Fourth term (\( n=4 \)): \[ a_4 = 3 \cdot 0.2^{4-1} = 3 \cdot 0.2^3 = 3 \cdot 0.008 = 0.024 \]
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Fifth term (\( n=5 \)): \[ a_5 = 3 \cdot 0.2^{5-1} = 3 \cdot 0.2^4 = 3 \cdot 0.0016 = 0.0048 \]
If you want to find a specific term or more terms, let me know!