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What is the fifth term of the geometric sequence in which a₁=7 and r=0.2 ?

User MarcGuay
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1 Answer

7 votes

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.

User Namuol
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