Final answer:
The fifth term of the geometric sequence is 0.0112.
Step-by-step explanation:
In a geometric sequence, each term is found by multiplying the previous term by a constant ratio, known as the common ratio. In this case, the first term (a₁) is 7 and the common ratio (r) is 0.2.
To find the fifth term of the geometric sequence, we can use the formula:
a₅ = a₁ * r^(n-1)
Substituting the given values, we have:
a₅ = 7 * 0.2^(5-1) = 7 * 0.2^4 = 7 * 0.0016 = 0.0112
Therefore, the fifth term of the geometric sequence is 0.0112.